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Finding the Fourth Proportional to 12,613.83, 17,407.22 and 7,306.71

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Solution

The fourth proportional to 12,613.83, 17,407.22 and 7,306.71 is: 10,083.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,613.83 : 17,407.22 = 7,306.71 : x
  2. Step 2: Convert to fraction form
    12,613.83/17,407.22 = 7,306.71/x
  3. Step 3: Cross multiply
    12,613.83x = 17,407.22 × 7,306.71
  4. Step 4: Simplify right side
    12,613.83x = 127,189,471.91
  5. Step 5: Solve for x
    x = 127,189,471.91/12,613.83
  6. Step 6: Final answer
    x = 10,083.33

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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.