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Finding the Fourth Proportional to 16,484.70, 24,727.17 and 6,096.30

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Solution

The fourth proportional to 16,484.70, 24,727.17 and 6,096.30 is: 9,144.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,484.70 : 24,727.17 = 6,096.30 : x
  2. Step 2: Convert to fraction form
    16,484.70/24,727.17 = 6,096.30/x
  3. Step 3: Cross multiply
    16,484.70x = 24,727.17 × 6,096.30
  4. Step 4: Simplify right side
    16,484.70x = 150,744,246.47
  5. Step 5: Solve for x
    x = 150,744,246.47/16,484.70
  6. Step 6: Final answer
    x = 9,144.49

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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.