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Finding the Fourth Proportional to 13,711.52, 18,914.58 and 9,227.60

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Solution

The fourth proportional to 13,711.52, 18,914.58 and 9,227.60 is: 12,729.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.52 : 18,914.58 = 9,227.60 : x
  2. Step 2: Convert to fraction form
    13,711.52/18,914.58 = 9,227.60/x
  3. Step 3: Cross multiply
    13,711.52x = 18,914.58 × 9,227.60
  4. Step 4: Simplify right side
    13,711.52x = 174,536,178.41
  5. Step 5: Solve for x
    x = 174,536,178.41/13,711.52
  6. Step 6: Final answer
    x = 12,729.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.