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Finding the Fourth Proportional to 22,540.68, 31,104.18 and 12,468.96

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Solution

The fourth proportional to 22,540.68, 31,104.18 and 12,468.96 is: 17,206.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,540.68 : 31,104.18 = 12,468.96 : x
  2. Step 2: Convert to fraction form
    22,540.68/31,104.18 = 12,468.96/x
  3. Step 3: Cross multiply
    22,540.68x = 31,104.18 × 12,468.96
  4. Step 4: Simplify right side
    22,540.68x = 387,836,776.25
  5. Step 5: Solve for x
    x = 387,836,776.25/22,540.68
  6. Step 6: Final answer
    x = 17,206.08

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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.