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Finding the Fourth Proportional to 16,181.52, 24,241.16 and 9,923.28

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Solution

The fourth proportional to 16,181.52, 24,241.16 and 9,923.28 is: 14,865.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,181.52 : 24,241.16 = 9,923.28 : x
  2. Step 2: Convert to fraction form
    16,181.52/24,241.16 = 9,923.28/x
  3. Step 3: Cross multiply
    16,181.52x = 24,241.16 × 9,923.28
  4. Step 4: Simplify right side
    16,181.52x = 240,551,818.20
  5. Step 5: Solve for x
    x = 240,551,818.20/16,181.52
  6. Step 6: Final answer
    x = 14,865.84

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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.