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Finding the Fourth Proportional to 13,852.31, 20,781.20 and 5,087.30

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Solution

The fourth proportional to 13,852.31, 20,781.20 and 5,087.30 is: 7,631.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852.31 : 20,781.20 = 5,087.30 : x
  2. Step 2: Convert to fraction form
    13,852.31/20,781.20 = 5,087.30/x
  3. Step 3: Cross multiply
    13,852.31x = 20,781.20 × 5,087.30
  4. Step 4: Simplify right side
    13,852.31x = 105,720,069.42
  5. Step 5: Solve for x
    x = 105,720,069.42/13,852.31
  6. Step 6: Final answer
    x = 7,631.95

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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.