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Finding the Fourth Proportional to 16,508, 24,759.12 and 6,644.72

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Solution

The fourth proportional to 16,508, 24,759.12 and 6,644.72 is: 9,965.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,508 : 24,759.12 = 6,644.72 : x
  2. Step 2: Convert to fraction form
    16,508/24,759.12 = 6,644.72/x
  3. Step 3: Cross multiply
    16,508x = 24,759.12 × 6,644.72
  4. Step 4: Simplify right side
    16,508x = 164,517,419.85
  5. Step 5: Solve for x
    x = 164,517,419.85/16,508
  6. Step 6: Final answer
    x = 9,965.92

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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.