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Finding the Fourth Proportional to 21,572.32, 32,357.78 and 6,780.92

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Solution

The fourth proportional to 21,572.32, 32,357.78 and 6,780.92 is: 10,171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,572.32 : 32,357.78 = 6,780.92 : x
  2. Step 2: Convert to fraction form
    21,572.32/32,357.78 = 6,780.92/x
  3. Step 3: Cross multiply
    21,572.32x = 32,357.78 × 6,780.92
  4. Step 4: Simplify right side
    21,572.32x = 219,415,517.56
  5. Step 5: Solve for x
    x = 219,415,517.56/21,572.32
  6. Step 6: Final answer
    x = 10,171.16

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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.