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Finding the Fourth Proportional to 16,441.92, 24,675.84 and 7,680.96

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Solution

The fourth proportional to 16,441.92, 24,675.84 and 7,680.96 is: 11,527.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,441.92 : 24,675.84 = 7,680.96 : x
  2. Step 2: Convert to fraction form
    16,441.92/24,675.84 = 7,680.96/x
  3. Step 3: Cross multiply
    16,441.92x = 24,675.84 × 7,680.96
  4. Step 4: Simplify right side
    16,441.92x = 189,534,140.01
  5. Step 5: Solve for x
    x = 189,534,140.01/16,441.92
  6. Step 6: Final answer
    x = 11,527.49

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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.