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Finding the Fourth Proportional to 16,202.72, 24,306.57 and 5,108.42

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Solution

The fourth proportional to 16,202.72, 24,306.57 and 5,108.42 is: 7,663.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202.72 : 24,306.57 = 5,108.42 : x
  2. Step 2: Convert to fraction form
    16,202.72/24,306.57 = 5,108.42/x
  3. Step 3: Cross multiply
    16,202.72x = 24,306.57 × 5,108.42
  4. Step 4: Simplify right side
    16,202.72x = 124,168,046.79
  5. Step 5: Solve for x
    x = 124,168,046.79/16,202.72
  6. Step 6: Final answer
    x = 7,663.41

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