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Finding the Fourth Proportional to 23,182.42, 34,773.65 and 8,387.87

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Solution

The fourth proportional to 23,182.42, 34,773.65 and 8,387.87 is: 12,581.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,182.42 : 34,773.65 = 8,387.87 : x
  2. Step 2: Convert to fraction form
    23,182.42/34,773.65 = 8,387.87/x
  3. Step 3: Cross multiply
    23,182.42x = 34,773.65 × 8,387.87
  4. Step 4: Simplify right side
    23,182.42x = 291,676,914.06
  5. Step 5: Solve for x
    x = 291,676,914.06/23,182.42
  6. Step 6: Final answer
    x = 12,581.82

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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.