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Finding the Fourth Proportional to 23,658.38, 32,649.03 and 15,289.46

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Solution

The fourth proportional to 23,658.38, 32,649.03 and 15,289.46 is: 21,099.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,658.38 : 32,649.03 = 15,289.46 : x
  2. Step 2: Convert to fraction form
    23,658.38/32,649.03 = 15,289.46/x
  3. Step 3: Cross multiply
    23,658.38x = 32,649.03 × 15,289.46
  4. Step 4: Simplify right side
    23,658.38x = 499,185,874.98
  5. Step 5: Solve for x
    x = 499,185,874.98/23,658.38
  6. Step 6: Final answer
    x = 21,099.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.