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Finding the Fourth Proportional to 16,038.52, 24,057.24 and 5,650

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Solution

The fourth proportional to 16,038.52, 24,057.24 and 5,650 is: 8,474.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,038.52 : 24,057.24 = 5,650 : x
  2. Step 2: Convert to fraction form
    16,038.52/24,057.24 = 5,650/x
  3. Step 3: Cross multiply
    16,038.52x = 24,057.24 × 5,650
  4. Step 4: Simplify right side
    16,038.52x = 135,923,406
  5. Step 5: Solve for x
    x = 135,923,406/16,038.52
  6. Step 6: Final answer
    x = 8,474.81

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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.