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Finding the Fourth Proportional to 24,142.86, 36,214.56 and 15,874.92

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Solution

The fourth proportional to 24,142.86, 36,214.56 and 15,874.92 is: 23,812.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,142.86 : 36,214.56 = 15,874.92 : x
  2. Step 2: Convert to fraction form
    24,142.86/36,214.56 = 15,874.92/x
  3. Step 3: Cross multiply
    24,142.86x = 36,214.56 × 15,874.92
  4. Step 4: Simplify right side
    24,142.86x = 574,903,242.84
  5. Step 5: Solve for x
    x = 574,903,242.84/24,142.86
  6. Step 6: Final answer
    x = 23,812.56

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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.