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Finding the Fourth Proportional to 22,847.77, 31,498.92 and 16,032.54

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Solution

The fourth proportional to 22,847.77, 31,498.92 and 16,032.54 is: 22,103.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,847.77 : 31,498.92 = 16,032.54 : x
  2. Step 2: Convert to fraction form
    22,847.77/31,498.92 = 16,032.54/x
  3. Step 3: Cross multiply
    22,847.77x = 31,498.92 × 16,032.54
  4. Step 4: Simplify right side
    22,847.77x = 505,007,694.86
  5. Step 5: Solve for x
    x = 505,007,694.86/22,847.77
  6. Step 6: Final answer
    x = 22,103.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.