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Finding the Fourth Proportional to 22,520.60, 31,078.42 and 12,584.60

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Solution

The fourth proportional to 22,520.60, 31,078.42 and 12,584.60 is: 17,366.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,520.60 : 31,078.42 = 12,584.60 : x
  2. Step 2: Convert to fraction form
    22,520.60/31,078.42 = 12,584.60/x
  3. Step 3: Cross multiply
    22,520.60x = 31,078.42 × 12,584.60
  4. Step 4: Simplify right side
    22,520.60x = 391,109,484.33
  5. Step 5: Solve for x
    x = 391,109,484.33/22,520.60
  6. Step 6: Final answer
    x = 17,366.74

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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.