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Finding the Fourth Proportional to 21,633.80, 32,454.08 and 6,841.31

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Solution

The fourth proportional to 21,633.80, 32,454.08 and 6,841.31 is: 10,263.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,633.80 : 32,454.08 = 6,841.31 : x
  2. Step 2: Convert to fraction form
    21,633.80/32,454.08 = 6,841.31/x
  3. Step 3: Cross multiply
    21,633.80x = 32,454.08 × 6,841.31
  4. Step 4: Simplify right side
    21,633.80x = 222,028,387.84
  5. Step 5: Solve for x
    x = 222,028,387.84/21,633.80
  6. Step 6: Final answer
    x = 10,263.03

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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.