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Finding the Fourth Proportional to 21,448, 32,174.25 and 5,865.63

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Solution

The fourth proportional to 21,448, 32,174.25 and 5,865.63 is: 8,799.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,448 : 32,174.25 = 5,865.63 : x
  2. Step 2: Convert to fraction form
    21,448/32,174.25 = 5,865.63/x
  3. Step 3: Cross multiply
    21,448x = 32,174.25 × 5,865.63
  4. Step 4: Simplify right side
    21,448x = 188,722,246.03
  5. Step 5: Solve for x
    x = 188,722,246.03/21,448
  6. Step 6: Final answer
    x = 8,799.06

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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.