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Finding the Fourth Proportional to 16,377.68, 24,566.52 and 5,983.76

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Solution

The fourth proportional to 16,377.68, 24,566.52 and 5,983.76 is: 8,975.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,377.68 : 24,566.52 = 5,983.76 : x
  2. Step 2: Convert to fraction form
    16,377.68/24,566.52 = 5,983.76/x
  3. Step 3: Cross multiply
    16,377.68x = 24,566.52 × 5,983.76
  4. Step 4: Simplify right side
    16,377.68x = 147,000,159.72
  5. Step 5: Solve for x
    x = 147,000,159.72/16,377.68
  6. Step 6: Final answer
    x = 8,975.64

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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.