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Finding the Fourth Proportional to 22,375, 33,562.71 and 6,792.63

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Solution

The fourth proportional to 22,375, 33,562.71 and 6,792.63 is: 10,189.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,375 : 33,562.71 = 6,792.63 : x
  2. Step 2: Convert to fraction form
    22,375/33,562.71 = 6,792.63/x
  3. Step 3: Cross multiply
    22,375x = 33,562.71 × 6,792.63
  4. Step 4: Simplify right side
    22,375x = 227,978,869.05
  5. Step 5: Solve for x
    x = 227,978,869.05/22,375
  6. Step 6: Final answer
    x = 10,189.00

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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.