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Finding the Fourth Proportional to 21,524.80, 32,335.81 and 12,765.46

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Solution

The fourth proportional to 21,524.80, 32,335.81 and 12,765.46 is: 19,177.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,524.80 : 32,335.81 = 12,765.46 : x
  2. Step 2: Convert to fraction form
    21,524.80/32,335.81 = 12,765.46/x
  3. Step 3: Cross multiply
    21,524.80x = 32,335.81 × 12,765.46
  4. Step 4: Simplify right side
    21,524.80x = 412,781,425.30
  5. Step 5: Solve for x
    x = 412,781,425.30/21,524.80
  6. Step 6: Final answer
    x = 19,177.02

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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.