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Finding the Fourth Proportional to 21,571.96, 32,357.03 and 6,780.55

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Solution

The fourth proportional to 21,571.96, 32,357.03 and 6,780.55 is: 10,170.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,571.96 : 32,357.03 = 6,780.55 : x
  2. Step 2: Convert to fraction form
    21,571.96/32,357.03 = 6,780.55/x
  3. Step 3: Cross multiply
    21,571.96x = 32,357.03 × 6,780.55
  4. Step 4: Simplify right side
    21,571.96x = 219,398,459.77
  5. Step 5: Solve for x
    x = 219,398,459.77/21,571.96
  6. Step 6: Final answer
    x = 10,170.54

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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.