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Finding the Fourth Proportional to 16,038, 24,059.43 and 5,649.75

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Solution

The fourth proportional to 16,038, 24,059.43 and 5,649.75 is: 8,475.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,038 : 24,059.43 = 5,649.75 : x
  2. Step 2: Convert to fraction form
    16,038/24,059.43 = 5,649.75/x
  3. Step 3: Cross multiply
    16,038x = 24,059.43 × 5,649.75
  4. Step 4: Simplify right side
    16,038x = 135,929,764.64
  5. Step 5: Solve for x
    x = 135,929,764.64/16,038
  6. Step 6: Final answer
    x = 8,475.48

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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.