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Finding the Fourth Proportional to 22,515.28, 33,770.36 and 6,098

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Solution

The fourth proportional to 22,515.28, 33,770.36 and 6,098 is: 9,146.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,515.28 : 33,770.36 = 6,098 : x
  2. Step 2: Convert to fraction form
    22,515.28/33,770.36 = 6,098/x
  3. Step 3: Cross multiply
    22,515.28x = 33,770.36 × 6,098
  4. Step 4: Simplify right side
    22,515.28x = 205,931,655.28
  5. Step 5: Solve for x
    x = 205,931,655.28/22,515.28
  6. Step 6: Final answer
    x = 9,146.31

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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.