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Finding the Fourth Proportional to 16,456.95, 24,689.33 and 5,363.70

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Solution

The fourth proportional to 16,456.95, 24,689.33 and 5,363.70 is: 8,046.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456.95 : 24,689.33 = 5,363.70 : x
  2. Step 2: Convert to fraction form
    16,456.95/24,689.33 = 5,363.70/x
  3. Step 3: Cross multiply
    16,456.95x = 24,689.33 × 5,363.70
  4. Step 4: Simplify right side
    16,456.95x = 132,426,132.50
  5. Step 5: Solve for x
    x = 132,426,132.50/16,456.95
  6. Step 6: Final answer
    x = 8,046.82

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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.