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Finding the Fourth Proportional to 24,342.57, 36,513.95 and 6,812.55

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Solution

The fourth proportional to 24,342.57, 36,513.95 and 6,812.55 is: 10,218.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,342.57 : 36,513.95 = 6,812.55 : x
  2. Step 2: Convert to fraction form
    24,342.57/36,513.95 = 6,812.55/x
  3. Step 3: Cross multiply
    24,342.57x = 36,513.95 × 6,812.55
  4. Step 4: Simplify right side
    24,342.57x = 248,753,076.01
  5. Step 5: Solve for x
    x = 248,753,076.01/24,342.57
  6. Step 6: Final answer
    x = 10,218.85

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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.