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Finding the Fourth Proportional to 16,207.76, 24,306.08 and 7,882.45

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Solution

The fourth proportional to 16,207.76, 24,306.08 and 7,882.45 is: 11,820.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,207.76 : 24,306.08 = 7,882.45 : x
  2. Step 2: Convert to fraction form
    16,207.76/24,306.08 = 7,882.45/x
  3. Step 3: Cross multiply
    16,207.76x = 24,306.08 × 7,882.45
  4. Step 4: Simplify right side
    16,207.76x = 191,591,360.12
  5. Step 5: Solve for x
    x = 191,591,360.12/16,207.76
  6. Step 6: Final answer
    x = 11,820.96

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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.