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Finding the Fourth Proportional to 21,561.96, 32,331.48 and 6,766.84

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Solution

The fourth proportional to 21,561.96, 32,331.48 and 6,766.84 is: 10,146.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,561.96 : 32,331.48 = 6,766.84 : x
  2. Step 2: Convert to fraction form
    21,561.96/32,331.48 = 6,766.84/x
  3. Step 3: Cross multiply
    21,561.96x = 32,331.48 × 6,766.84
  4. Step 4: Simplify right side
    21,561.96x = 218,781,952.12
  5. Step 5: Solve for x
    x = 218,781,952.12/21,561.96
  6. Step 6: Final answer
    x = 10,146.66

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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.