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Finding the Fourth Proportional to 16,508, 24,765.84 and 5,564

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Solution

The fourth proportional to 16,508, 24,765.84 and 5,564 is: 8,347.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,508 : 24,765.84 = 5,564 : x
  2. Step 2: Convert to fraction form
    16,508/24,765.84 = 5,564/x
  3. Step 3: Cross multiply
    16,508x = 24,765.84 × 5,564
  4. Step 4: Simplify right side
    16,508x = 137,797,133.76
  5. Step 5: Solve for x
    x = 137,797,133.76/16,508
  6. Step 6: Final answer
    x = 8,347.29

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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.