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Finding the Fourth Proportional to 22,613.61, 31,206.87 and 12,542.99

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Solution

The fourth proportional to 22,613.61, 31,206.87 and 12,542.99 is: 17,309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,613.61 : 31,206.87 = 12,542.99 : x
  2. Step 2: Convert to fraction form
    22,613.61/31,206.87 = 12,542.99/x
  3. Step 3: Cross multiply
    22,613.61x = 31,206.87 × 12,542.99
  4. Step 4: Simplify right side
    22,613.61x = 391,427,458.34
  5. Step 5: Solve for x
    x = 391,427,458.34/22,613.61
  6. Step 6: Final answer
    x = 17,309.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.