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Finding the Fourth Proportional to 16,180.55, 24,251.88 and 6,178.74

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Solution

The fourth proportional to 16,180.55, 24,251.88 and 6,178.74 is: 9,260.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,180.55 : 24,251.88 = 6,178.74 : x
  2. Step 2: Convert to fraction form
    16,180.55/24,251.88 = 6,178.74/x
  3. Step 3: Cross multiply
    16,180.55x = 24,251.88 × 6,178.74
  4. Step 4: Simplify right side
    16,180.55x = 149,846,061.03
  5. Step 5: Solve for x
    x = 149,846,061.03/16,180.55
  6. Step 6: Final answer
    x = 9,260.88

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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.