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Finding the Fourth Proportional to 21,073.74, 31,542.02 and 15,524.90

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Solution

The fourth proportional to 21,073.74, 31,542.02 and 15,524.90 is: 23,236.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,073.74 : 31,542.02 = 15,524.90 : x
  2. Step 2: Convert to fraction form
    21,073.74/31,542.02 = 15,524.90/x
  3. Step 3: Cross multiply
    21,073.74x = 31,542.02 × 15,524.90
  4. Step 4: Simplify right side
    21,073.74x = 489,686,706.30
  5. Step 5: Solve for x
    x = 489,686,706.30/21,073.74
  6. Step 6: Final answer
    x = 23,236.82

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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.