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Finding the Fourth Proportional to 16,347.68, 24,523.82 and 6,487.96

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Solution

The fourth proportional to 16,347.68, 24,523.82 and 6,487.96 is: 9,732.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,347.68 : 24,523.82 = 6,487.96 : x
  2. Step 2: Convert to fraction form
    16,347.68/24,523.82 = 6,487.96/x
  3. Step 3: Cross multiply
    16,347.68x = 24,523.82 × 6,487.96
  4. Step 4: Simplify right side
    16,347.68x = 159,109,563.21
  5. Step 5: Solve for x
    x = 159,109,563.21/16,347.68
  6. Step 6: Final answer
    x = 9,732.85

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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.