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Finding the Fourth Proportional to 24,142.16, 36,205.46 and 22,567.92

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Solution

The fourth proportional to 24,142.16, 36,205.46 and 22,567.92 is: 33,844.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,142.16 : 36,205.46 = 22,567.92 : x
  2. Step 2: Convert to fraction form
    24,142.16/36,205.46 = 22,567.92/x
  3. Step 3: Cross multiply
    24,142.16x = 36,205.46 × 22,567.92
  4. Step 4: Simplify right side
    24,142.16x = 817,081,760.86
  5. Step 5: Solve for x
    x = 817,081,760.86/24,142.16
  6. Step 6: Final answer
    x = 33,844.60

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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.