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Finding the Fourth Proportional to 20,602.32, 30,868.17 and 13,835.22

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Solution

The fourth proportional to 20,602.32, 30,868.17 and 13,835.22 is: 20,729.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,602.32 : 30,868.17 = 13,835.22 : x
  2. Step 2: Convert to fraction form
    20,602.32/30,868.17 = 13,835.22/x
  3. Step 3: Cross multiply
    20,602.32x = 30,868.17 × 13,835.22
  4. Step 4: Simplify right side
    20,602.32x = 427,067,922.95
  5. Step 5: Solve for x
    x = 427,067,922.95/20,602.32
  6. Step 6: Final answer
    x = 20,729.12

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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.