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Finding the Fourth Proportional to 13,875.50, 20,809.79 and 5,443.72

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Solution

The fourth proportional to 13,875.50, 20,809.79 and 5,443.72 is: 8,164.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,875.50 : 20,809.79 = 5,443.72 : x
  2. Step 2: Convert to fraction form
    13,875.50/20,809.79 = 5,443.72/x
  3. Step 3: Cross multiply
    13,875.50x = 20,809.79 × 5,443.72
  4. Step 4: Simplify right side
    13,875.50x = 113,282,670.02
  5. Step 5: Solve for x
    x = 113,282,670.02/13,875.50
  6. Step 6: Final answer
    x = 8,164.22

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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.