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Finding the Fourth Proportional to 22,613.64, 31,207.19 and 12,542.50

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Solution

The fourth proportional to 22,613.64, 31,207.19 and 12,542.50 is: 17,308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,613.64 : 31,207.19 = 12,542.50 : x
  2. Step 2: Convert to fraction form
    22,613.64/31,207.19 = 12,542.50/x
  3. Step 3: Cross multiply
    22,613.64x = 31,207.19 × 12,542.50
  4. Step 4: Simplify right side
    22,613.64x = 391,416,180.58
  5. Step 5: Solve for x
    x = 391,416,180.58/22,613.64
  6. Step 6: Final answer
    x = 17,308.85

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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.