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Finding the Fourth Proportional to 22,576.90, 33,868.50 and 9,426.28

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Solution

The fourth proportional to 22,576.90, 33,868.50 and 9,426.28 is: 14,140.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,576.90 : 33,868.50 = 9,426.28 : x
  2. Step 2: Convert to fraction form
    22,576.90/33,868.50 = 9,426.28/x
  3. Step 3: Cross multiply
    22,576.90x = 33,868.50 × 9,426.28
  4. Step 4: Simplify right side
    22,576.90x = 319,253,964.18
  5. Step 5: Solve for x
    x = 319,253,964.18/22,576.90
  6. Step 6: Final answer
    x = 14,140.74

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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.