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Finding the Fourth Proportional to 21,716.74, 32,564.69 and 9,229.99

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Solution

The fourth proportional to 21,716.74, 32,564.69 and 9,229.99 is: 13,840.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,716.74 : 32,564.69 = 9,229.99 : x
  2. Step 2: Convert to fraction form
    21,716.74/32,564.69 = 9,229.99/x
  3. Step 3: Cross multiply
    21,716.74x = 32,564.69 × 9,229.99
  4. Step 4: Simplify right side
    21,716.74x = 300,571,868.73
  5. Step 5: Solve for x
    x = 300,571,868.73/21,716.74
  6. Step 6: Final answer
    x = 13,840.56

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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.