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Finding the Fourth Proportional to 16,344.75, 24,517.14 and 7,110.75

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Solution

The fourth proportional to 16,344.75, 24,517.14 and 7,110.75 is: 10,666.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,344.75 : 24,517.14 = 7,110.75 : x
  2. Step 2: Convert to fraction form
    16,344.75/24,517.14 = 7,110.75/x
  3. Step 3: Cross multiply
    16,344.75x = 24,517.14 × 7,110.75
  4. Step 4: Simplify right side
    16,344.75x = 174,335,253.26
  5. Step 5: Solve for x
    x = 174,335,253.26/16,344.75
  6. Step 6: Final answer
    x = 10,666.13

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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.