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Finding the Fourth Proportional to 16,657.82, 24,978.44 and 5,560.70

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Solution

The fourth proportional to 16,657.82, 24,978.44 and 5,560.70 is: 8,338.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,657.82 : 24,978.44 = 5,560.70 : x
  2. Step 2: Convert to fraction form
    16,657.82/24,978.44 = 5,560.70/x
  3. Step 3: Cross multiply
    16,657.82x = 24,978.44 × 5,560.70
  4. Step 4: Simplify right side
    16,657.82x = 138,897,611.31
  5. Step 5: Solve for x
    x = 138,897,611.31/16,657.82
  6. Step 6: Final answer
    x = 8,338.28

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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.