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Finding the Fourth Proportional to 16,463.44, 24,691.74 and 5,931.82

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Solution

The fourth proportional to 16,463.44, 24,691.74 and 5,931.82 is: 8,896.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,463.44 : 24,691.74 = 5,931.82 : x
  2. Step 2: Convert to fraction form
    16,463.44/24,691.74 = 5,931.82/x
  3. Step 3: Cross multiply
    16,463.44x = 24,691.74 × 5,931.82
  4. Step 4: Simplify right side
    16,463.44x = 146,466,957.17
  5. Step 5: Solve for x
    x = 146,466,957.17/16,463.44
  6. Step 6: Final answer
    x = 8,896.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.