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Finding the Fourth Proportional to 22,520.13, 31,078.49 and 12,448.89

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Solution

The fourth proportional to 22,520.13, 31,078.49 and 12,448.89 is: 17,179.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,520.13 : 31,078.49 = 12,448.89 : x
  2. Step 2: Convert to fraction form
    22,520.13/31,078.49 = 12,448.89/x
  3. Step 3: Cross multiply
    22,520.13x = 31,078.49 × 12,448.89
  4. Step 4: Simplify right side
    22,520.13x = 386,892,641.13
  5. Step 5: Solve for x
    x = 386,892,641.13/22,520.13
  6. Step 6: Final answer
    x = 17,179.86

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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.