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Finding the Fourth Proportional to 21,494.25, 32,229.75 and 7,453.25

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Solution

The fourth proportional to 21,494.25, 32,229.75 and 7,453.25 is: 11,175.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,494.25 : 32,229.75 = 7,453.25 : x
  2. Step 2: Convert to fraction form
    21,494.25/32,229.75 = 7,453.25/x
  3. Step 3: Cross multiply
    21,494.25x = 32,229.75 × 7,453.25
  4. Step 4: Simplify right side
    21,494.25x = 240,216,223.04
  5. Step 5: Solve for x
    x = 240,216,223.04/21,494.25
  6. Step 6: Final answer
    x = 11,175.84

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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.