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Finding the Fourth Proportional to 21,649.50, 32,474.28 and 5,233.50

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Solution

The fourth proportional to 21,649.50, 32,474.28 and 5,233.50 is: 7,850.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,649.50 : 32,474.28 = 5,233.50 : x
  2. Step 2: Convert to fraction form
    21,649.50/32,474.28 = 5,233.50/x
  3. Step 3: Cross multiply
    21,649.50x = 32,474.28 × 5,233.50
  4. Step 4: Simplify right side
    21,649.50x = 169,954,144.38
  5. Step 5: Solve for x
    x = 169,954,144.38/21,649.50
  6. Step 6: Final answer
    x = 7,850.26

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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.