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Finding the Fourth Proportional to 12,074.87, 18,117.50 and 5,839.56

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Solution

The fourth proportional to 12,074.87, 18,117.50 and 5,839.56 is: 8,761.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,074.87 : 18,117.50 = 5,839.56 : x
  2. Step 2: Convert to fraction form
    12,074.87/18,117.50 = 5,839.56/x
  3. Step 3: Cross multiply
    12,074.87x = 18,117.50 × 5,839.56
  4. Step 4: Simplify right side
    12,074.87x = 105,798,199.10
  5. Step 5: Solve for x
    x = 105,798,199.10/12,074.87
  6. Step 6: Final answer
    x = 8,761.85

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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.