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Finding the Fourth Proportional to 13,400.72, 20,088.12 and 5,605.28

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Solution

The fourth proportional to 13,400.72, 20,088.12 and 5,605.28 is: 8,402.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400.72 : 20,088.12 = 5,605.28 : x
  2. Step 2: Convert to fraction form
    13,400.72/20,088.12 = 5,605.28/x
  3. Step 3: Cross multiply
    13,400.72x = 20,088.12 × 5,605.28
  4. Step 4: Simplify right side
    13,400.72x = 112,599,537.27
  5. Step 5: Solve for x
    x = 112,599,537.27/13,400.72
  6. Step 6: Final answer
    x = 8,402.50

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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.