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Finding the Fourth Proportional to 15,524, 23,286.77 and 4,432.33

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Solution

The fourth proportional to 15,524, 23,286.77 and 4,432.33 is: 6,648.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,524 : 23,286.77 = 4,432.33 : x
  2. Step 2: Convert to fraction form
    15,524/23,286.77 = 4,432.33/x
  3. Step 3: Cross multiply
    15,524x = 23,286.77 × 4,432.33
  4. Step 4: Simplify right side
    15,524x = 103,214,649.27
  5. Step 5: Solve for x
    x = 103,214,649.27/15,524
  6. Step 6: Final answer
    x = 6,648.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.