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Finding the Fourth Proportional to 13,828,553.20, 20,702,971.72 and 13,828,553.20

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Solution

The fourth proportional to 13,828,553.20, 20,702,971.72 and 13,828,553.20 is: 20,702,971.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,828,553.20 : 20,702,971.72 = 13,828,553.20 : x
  2. Step 2: Convert to fraction form
    13,828,553.20/20,702,971.72 = 13,828,553.20/x
  3. Step 3: Cross multiply
    13,828,553.20x = 20,702,971.72 × 13,828,553.20
  4. Step 4: Simplify right side
    13,828,553.20x = 286,292,145,828,115.50
  5. Step 5: Solve for x
    x = 286,292,145,828,115.50/13,828,553.20
  6. Step 6: Final answer
    x = 20,702,971.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.