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Finding the Fourth Proportional to 17,711.14, 24,440.52 and 9,753.70

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Solution

The fourth proportional to 17,711.14, 24,440.52 and 9,753.70 is: 13,459.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,711.14 : 24,440.52 = 9,753.70 : x
  2. Step 2: Convert to fraction form
    17,711.14/24,440.52 = 9,753.70/x
  3. Step 3: Cross multiply
    17,711.14x = 24,440.52 × 9,753.70
  4. Step 4: Simplify right side
    17,711.14x = 238,385,499.92
  5. Step 5: Solve for x
    x = 238,385,499.92/17,711.14
  6. Step 6: Final answer
    x = 13,459.64

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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.