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Finding the Fourth Proportional to 21,882.30, 32,758.65 and 13,134.30

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Solution

The fourth proportional to 21,882.30, 32,758.65 and 13,134.30 is: 19,662.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,882.30 : 32,758.65 = 13,134.30 : x
  2. Step 2: Convert to fraction form
    21,882.30/32,758.65 = 13,134.30/x
  3. Step 3: Cross multiply
    21,882.30x = 32,758.65 × 13,134.30
  4. Step 4: Simplify right side
    21,882.30x = 430,261,936.70
  5. Step 5: Solve for x
    x = 430,261,936.70/21,882.30
  6. Step 6: Final answer
    x = 19,662.56

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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.