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Finding the Fourth Proportional to 15,088.52, 20,809.50 and 9,711.80

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Solution

The fourth proportional to 15,088.52, 20,809.50 and 9,711.80 is: 13,394.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,088.52 : 20,809.50 = 9,711.80 : x
  2. Step 2: Convert to fraction form
    15,088.52/20,809.50 = 9,711.80/x
  3. Step 3: Cross multiply
    15,088.52x = 20,809.50 × 9,711.80
  4. Step 4: Simplify right side
    15,088.52x = 202,097,702.10
  5. Step 5: Solve for x
    x = 202,097,702.10/15,088.52
  6. Step 6: Final answer
    x = 13,394.14

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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.