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Finding the Fourth Proportional to 21,191.48, 31,787.44 and 6,400.52

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Solution

The fourth proportional to 21,191.48, 31,787.44 and 6,400.52 is: 9,600.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,191.48 : 31,787.44 = 6,400.52 : x
  2. Step 2: Convert to fraction form
    21,191.48/31,787.44 = 6,400.52/x
  3. Step 3: Cross multiply
    21,191.48x = 31,787.44 × 6,400.52
  4. Step 4: Simplify right side
    21,191.48x = 203,456,145.47
  5. Step 5: Solve for x
    x = 203,456,145.47/21,191.48
  6. Step 6: Final answer
    x = 9,600.85

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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.