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Finding the Fourth Proportional to 26,751.20, 40,151.46 and 13,613

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Solution

The fourth proportional to 26,751.20, 40,151.46 and 13,613 is: 20,432.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,751.20 : 40,151.46 = 13,613 : x
  2. Step 2: Convert to fraction form
    26,751.20/40,151.46 = 13,613/x
  3. Step 3: Cross multiply
    26,751.20x = 40,151.46 × 13,613
  4. Step 4: Simplify right side
    26,751.20x = 546,581,824.98
  5. Step 5: Solve for x
    x = 546,581,824.98/26,751.20
  6. Step 6: Final answer
    x = 20,432.05

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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.