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Finding the Fourth Proportional to 16,382.72, 24,581.76 and 8,053.76

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Solution

The fourth proportional to 16,382.72, 24,581.76 and 8,053.76 is: 12,084.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382.72 : 24,581.76 = 8,053.76 : x
  2. Step 2: Convert to fraction form
    16,382.72/24,581.76 = 8,053.76/x
  3. Step 3: Cross multiply
    16,382.72x = 24,581.76 × 8,053.76
  4. Step 4: Simplify right side
    16,382.72x = 197,975,595.42
  5. Step 5: Solve for x
    x = 197,975,595.42/16,382.72
  6. Step 6: Final answer
    x = 12,084.42

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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.