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Finding the Fourth Proportional to 21,866.12, 32,771.08 and 9,382.96

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Solution

The fourth proportional to 21,866.12, 32,771.08 and 9,382.96 is: 14,062.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,866.12 : 32,771.08 = 9,382.96 : x
  2. Step 2: Convert to fraction form
    21,866.12/32,771.08 = 9,382.96/x
  3. Step 3: Cross multiply
    21,866.12x = 32,771.08 × 9,382.96
  4. Step 4: Simplify right side
    21,866.12x = 307,489,732.80
  5. Step 5: Solve for x
    x = 307,489,732.80/21,866.12
  6. Step 6: Final answer
    x = 14,062.38

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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.