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Finding the Fourth Proportional to 22,613.46, 31,208.16 and 12,542.86

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Solution

The fourth proportional to 22,613.46, 31,208.16 and 12,542.86 is: 17,310.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,613.46 : 31,208.16 = 12,542.86 : x
  2. Step 2: Convert to fraction form
    22,613.46/31,208.16 = 12,542.86/x
  3. Step 3: Cross multiply
    22,613.46x = 31,208.16 × 12,542.86
  4. Step 4: Simplify right side
    22,613.46x = 391,439,581.74
  5. Step 5: Solve for x
    x = 391,439,581.74/22,613.46
  6. Step 6: Final answer
    x = 17,310.03

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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.