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Finding the Fourth Proportional to 21,850.68, 32,820.18 and 13,102.20

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Solution

The fourth proportional to 21,850.68, 32,820.18 and 13,102.20 is: 19,679.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,850.68 : 32,820.18 = 13,102.20 : x
  2. Step 2: Convert to fraction form
    21,850.68/32,820.18 = 13,102.20/x
  3. Step 3: Cross multiply
    21,850.68x = 32,820.18 × 13,102.20
  4. Step 4: Simplify right side
    21,850.68x = 430,016,562.40
  5. Step 5: Solve for x
    x = 430,016,562.40/21,850.68
  6. Step 6: Final answer
    x = 19,679.78

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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.