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Finding the Fourth Proportional to 21,275.87, 31,921.09 and 8,132.00

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Solution

The fourth proportional to 21,275.87, 31,921.09 and 8,132.00 is: 12,200.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,275.87 : 31,921.09 = 8,132.00 : x
  2. Step 2: Convert to fraction form
    21,275.87/31,921.09 = 8,132.00/x
  3. Step 3: Cross multiply
    21,275.87x = 31,921.09 × 8,132.00
  4. Step 4: Simplify right side
    21,275.87x = 259,582,123.94
  5. Step 5: Solve for x
    x = 259,582,123.94/21,275.87
  6. Step 6: Final answer
    x = 12,200.78

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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.