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Finding the Fourth Proportional to 16,449.12, 24,672 and 7,685.76

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Solution

The fourth proportional to 16,449.12, 24,672 and 7,685.76 is: 11,527.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,449.12 : 24,672 = 7,685.76 : x
  2. Step 2: Convert to fraction form
    16,449.12/24,672 = 7,685.76/x
  3. Step 3: Cross multiply
    16,449.12x = 24,672 × 7,685.76
  4. Step 4: Simplify right side
    16,449.12x = 189,623,070.72
  5. Step 5: Solve for x
    x = 189,623,070.72/16,449.12
  6. Step 6: Final answer
    x = 11,527.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.