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Finding the Fourth Proportional to 12,407.17, 18,613.43 and 4,086.78

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Solution

The fourth proportional to 12,407.17, 18,613.43 and 4,086.78 is: 6,131.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.17 : 18,613.43 = 4,086.78 : x
  2. Step 2: Convert to fraction form
    12,407.17/18,613.43 = 4,086.78/x
  3. Step 3: Cross multiply
    12,407.17x = 18,613.43 × 4,086.78
  4. Step 4: Simplify right side
    12,407.17x = 76,069,003.67
  5. Step 5: Solve for x
    x = 76,069,003.67/12,407.17
  6. Step 6: Final answer
    x = 6,131.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.