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Finding the Fourth Proportional to 16,241.92, 24,360 and 5,853.76

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Solution

The fourth proportional to 16,241.92, 24,360 and 5,853.76 is: 8,779.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.92 : 24,360 = 5,853.76 : x
  2. Step 2: Convert to fraction form
    16,241.92/24,360 = 5,853.76/x
  3. Step 3: Cross multiply
    16,241.92x = 24,360 × 5,853.76
  4. Step 4: Simplify right side
    16,241.92x = 142,597,593.60
  5. Step 5: Solve for x
    x = 142,597,593.60/16,241.92
  6. Step 6: Final answer
    x = 8,779.60

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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.