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Finding the Fourth Proportional to 16,156.38, 24,241.65 and 7,842.78

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Solution

The fourth proportional to 16,156.38, 24,241.65 and 7,842.78 is: 11,767.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,156.38 : 24,241.65 = 7,842.78 : x
  2. Step 2: Convert to fraction form
    16,156.38/24,241.65 = 7,842.78/x
  3. Step 3: Cross multiply
    16,156.38x = 24,241.65 × 7,842.78
  4. Step 4: Simplify right side
    16,156.38x = 190,121,927.79
  5. Step 5: Solve for x
    x = 190,121,927.79/16,156.38
  6. Step 6: Final answer
    x = 11,767.61

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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.