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Finding the Fourth Proportional to 13,816.71, 20,729.16 and 6,425.55

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Solution

The fourth proportional to 13,816.71, 20,729.16 and 6,425.55 is: 9,640.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.71 : 20,729.16 = 6,425.55 : x
  2. Step 2: Convert to fraction form
    13,816.71/20,729.16 = 6,425.55/x
  3. Step 3: Cross multiply
    13,816.71x = 20,729.16 × 6,425.55
  4. Step 4: Simplify right side
    13,816.71x = 133,196,254.04
  5. Step 5: Solve for x
    x = 133,196,254.04/13,816.71
  6. Step 6: Final answer
    x = 9,640.23

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