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Finding the Fourth Proportional to 21,912.90, 32,836.54 and 13,138.18

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Solution

The fourth proportional to 21,912.90, 32,836.54 and 13,138.18 is: 19,687.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,912.90 : 32,836.54 = 13,138.18 : x
  2. Step 2: Convert to fraction form
    21,912.90/32,836.54 = 13,138.18/x
  3. Step 3: Cross multiply
    21,912.90x = 32,836.54 × 13,138.18
  4. Step 4: Simplify right side
    21,912.90x = 431,412,373.10
  5. Step 5: Solve for x
    x = 431,412,373.10/21,912.90
  6. Step 6: Final answer
    x = 19,687.60

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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.