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Finding the Fourth Proportional to 20,342.43, 30,361.14 and 19,013.82

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Solution

The fourth proportional to 20,342.43, 30,361.14 and 19,013.82 is: 28,378.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,342.43 : 30,361.14 = 19,013.82 : x
  2. Step 2: Convert to fraction form
    20,342.43/30,361.14 = 19,013.82/x
  3. Step 3: Cross multiply
    20,342.43x = 30,361.14 × 19,013.82
  4. Step 4: Simplify right side
    20,342.43x = 577,281,250.95
  5. Step 5: Solve for x
    x = 577,281,250.95/20,342.43
  6. Step 6: Final answer
    x = 28,378.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.