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Finding the Fourth Proportional to 16,547.28, 24,825 and 8,231.24

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Solution

The fourth proportional to 16,547.28, 24,825 and 8,231.24 is: 12,348.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547.28 : 24,825 = 8,231.24 : x
  2. Step 2: Convert to fraction form
    16,547.28/24,825 = 8,231.24/x
  3. Step 3: Cross multiply
    16,547.28x = 24,825 × 8,231.24
  4. Step 4: Simplify right side
    16,547.28x = 204,340,533
  5. Step 5: Solve for x
    x = 204,340,533/16,547.28
  6. Step 6: Final answer
    x = 12,348.89

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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.