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Finding the Fourth Proportional to 24,175.68, 36,276.75 and 9,385.17

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Solution

The fourth proportional to 24,175.68, 36,276.75 and 9,385.17 is: 14,082.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,175.68 : 36,276.75 = 9,385.17 : x
  2. Step 2: Convert to fraction form
    24,175.68/36,276.75 = 9,385.17/x
  3. Step 3: Cross multiply
    24,175.68x = 36,276.75 × 9,385.17
  4. Step 4: Simplify right side
    24,175.68x = 340,463,465.80
  5. Step 5: Solve for x
    x = 340,463,465.80/24,175.68
  6. Step 6: Final answer
    x = 14,082.89

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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.