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Finding the Fourth Proportional to 16,202, 24,248.13 and 9,965.97

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Solution

The fourth proportional to 16,202, 24,248.13 and 9,965.97 is: 14,915.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202 : 24,248.13 = 9,965.97 : x
  2. Step 2: Convert to fraction form
    16,202/24,248.13 = 9,965.97/x
  3. Step 3: Cross multiply
    16,202x = 24,248.13 × 9,965.97
  4. Step 4: Simplify right side
    16,202x = 241,656,136.14
  5. Step 5: Solve for x
    x = 241,656,136.14/16,202
  6. Step 6: Final answer
    x = 14,915.20

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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.