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Finding the Fourth Proportional to 21,665.25, 32,497.88 and 5,249.25

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Solution

The fourth proportional to 21,665.25, 32,497.88 and 5,249.25 is: 7,873.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,665.25 : 32,497.88 = 5,249.25 : x
  2. Step 2: Convert to fraction form
    21,665.25/32,497.88 = 5,249.25/x
  3. Step 3: Cross multiply
    21,665.25x = 32,497.88 × 5,249.25
  4. Step 4: Simplify right side
    21,665.25x = 170,589,470.34
  5. Step 5: Solve for x
    x = 170,589,470.34/21,665.25
  6. Step 6: Final answer
    x = 7,873.88

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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.