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Finding the Fourth Proportional to 16,456.84, 24,687.29 and 5,360.56

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Solution

The fourth proportional to 16,456.84, 24,687.29 and 5,360.56 is: 8,041.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456.84 : 24,687.29 = 5,360.56 : x
  2. Step 2: Convert to fraction form
    16,456.84/24,687.29 = 5,360.56/x
  3. Step 3: Cross multiply
    16,456.84x = 24,687.29 × 5,360.56
  4. Step 4: Simplify right side
    16,456.84x = 132,337,650.97
  5. Step 5: Solve for x
    x = 132,337,650.97/16,456.84
  6. Step 6: Final answer
    x = 8,041.50

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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.