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Finding the Fourth Proportional to 24,145.42, 36,197.19 and 9,344.15

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Solution

The fourth proportional to 24,145.42, 36,197.19 and 9,344.15 is: 14,008.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,145.42 : 36,197.19 = 9,344.15 : x
  2. Step 2: Convert to fraction form
    24,145.42/36,197.19 = 9,344.15/x
  3. Step 3: Cross multiply
    24,145.42x = 36,197.19 × 9,344.15
  4. Step 4: Simplify right side
    24,145.42x = 338,231,972.94
  5. Step 5: Solve for x
    x = 338,231,972.94/24,145.42
  6. Step 6: Final answer
    x = 14,008.12

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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.