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Finding the Fourth Proportional to 16,601.58, 24,902.10 and 7,842.78

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Solution

The fourth proportional to 16,601.58, 24,902.10 and 7,842.78 is: 11,764.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,601.58 : 24,902.10 = 7,842.78 : x
  2. Step 2: Convert to fraction form
    16,601.58/24,902.10 = 7,842.78/x
  3. Step 3: Cross multiply
    16,601.58x = 24,902.10 × 7,842.78
  4. Step 4: Simplify right side
    16,601.58x = 195,301,691.84
  5. Step 5: Solve for x
    x = 195,301,691.84/16,601.58
  6. Step 6: Final answer
    x = 11,764.04

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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.