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Finding the Fourth Proportional to 24,207.87, 36,302.67 and 9,414.93

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Solution

The fourth proportional to 24,207.87, 36,302.67 and 9,414.93 is: 14,118.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,207.87 : 36,302.67 = 9,414.93 : x
  2. Step 2: Convert to fraction form
    24,207.87/36,302.67 = 9,414.93/x
  3. Step 3: Cross multiply
    24,207.87x = 36,302.67 × 9,414.93
  4. Step 4: Simplify right side
    24,207.87x = 341,787,096.86
  5. Step 5: Solve for x
    x = 341,787,096.86/24,207.87
  6. Step 6: Final answer
    x = 14,118.84

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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.