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Finding the Fourth Proportional to 21,772.84, 32,659.26 and 6,188.44

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Solution

The fourth proportional to 21,772.84, 32,659.26 and 6,188.44 is: 9,282.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,772.84 : 32,659.26 = 6,188.44 : x
  2. Step 2: Convert to fraction form
    21,772.84/32,659.26 = 6,188.44/x
  3. Step 3: Cross multiply
    21,772.84x = 32,659.26 × 6,188.44
  4. Step 4: Simplify right side
    21,772.84x = 202,109,870.95
  5. Step 5: Solve for x
    x = 202,109,870.95/21,772.84
  6. Step 6: Final answer
    x = 9,282.66

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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.