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Finding the Fourth Proportional to 16,447.12, 24,678.78 and 7,680.76

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Solution

The fourth proportional to 16,447.12, 24,678.78 and 7,680.76 is: 11,524.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,447.12 : 24,678.78 = 7,680.76 : x
  2. Step 2: Convert to fraction form
    16,447.12/24,678.78 = 7,680.76/x
  3. Step 3: Cross multiply
    16,447.12x = 24,678.78 × 7,680.76
  4. Step 4: Simplify right side
    16,447.12x = 189,551,786.27
  5. Step 5: Solve for x
    x = 189,551,786.27/16,447.12
  6. Step 6: Final answer
    x = 11,524.92

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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.