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Finding the Fourth Proportional to 15,088.50, 20,814.39 and 9,711.90

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Solution

The fourth proportional to 15,088.50, 20,814.39 and 9,711.90 is: 13,397.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,088.50 : 20,814.39 = 9,711.90 : x
  2. Step 2: Convert to fraction form
    15,088.50/20,814.39 = 9,711.90/x
  3. Step 3: Cross multiply
    15,088.50x = 20,814.39 × 9,711.90
  4. Step 4: Simplify right side
    15,088.50x = 202,147,274.24
  5. Step 5: Solve for x
    x = 202,147,274.24/15,088.50
  6. Step 6: Final answer
    x = 13,397.44

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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.