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Finding the Fourth Proportional to 20,098.62, 27,729.30 and 13,026.46

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Solution

The fourth proportional to 20,098.62, 27,729.30 and 13,026.46 is: 17,972.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.62 : 27,729.30 = 13,026.46 : x
  2. Step 2: Convert to fraction form
    20,098.62/27,729.30 = 13,026.46/x
  3. Step 3: Cross multiply
    20,098.62x = 27,729.30 × 13,026.46
  4. Step 4: Simplify right side
    20,098.62x = 361,214,617.28
  5. Step 5: Solve for x
    x = 361,214,617.28/20,098.62
  6. Step 6: Final answer
    x = 17,972.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.