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Finding the Fourth Proportional to 21,818.25, 32,727.38 and 7,967.25

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Solution

The fourth proportional to 21,818.25, 32,727.38 and 7,967.25 is: 11,950.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,818.25 : 32,727.38 = 7,967.25 : x
  2. Step 2: Convert to fraction form
    21,818.25/32,727.38 = 7,967.25/x
  3. Step 3: Cross multiply
    21,818.25x = 32,727.38 × 7,967.25
  4. Step 4: Simplify right side
    21,818.25x = 260,747,178.47
  5. Step 5: Solve for x
    x = 260,747,178.47/21,818.25
  6. Step 6: Final answer
    x = 11,950.88

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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.