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Finding the Fourth Proportional to 21,761.10, 32,643.92 and 9,282.44

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Solution

The fourth proportional to 21,761.10, 32,643.92 and 9,282.44 is: 13,924.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,761.10 : 32,643.92 = 9,282.44 : x
  2. Step 2: Convert to fraction form
    21,761.10/32,643.92 = 9,282.44/x
  3. Step 3: Cross multiply
    21,761.10x = 32,643.92 × 9,282.44
  4. Step 4: Simplify right side
    21,761.10x = 303,015,228.76
  5. Step 5: Solve for x
    x = 303,015,228.76/21,761.10
  6. Step 6: Final answer
    x = 13,924.63

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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.