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Finding the Fourth Proportional to 22,853.40, 34,283.52 and 7,274.52

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Solution

The fourth proportional to 22,853.40, 34,283.52 and 7,274.52 is: 10,912.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,853.40 : 34,283.52 = 7,274.52 : x
  2. Step 2: Convert to fraction form
    22,853.40/34,283.52 = 7,274.52/x
  3. Step 3: Cross multiply
    22,853.40x = 34,283.52 × 7,274.52
  4. Step 4: Simplify right side
    22,853.40x = 249,396,151.91
  5. Step 5: Solve for x
    x = 249,396,151.91/22,853.40
  6. Step 6: Final answer
    x = 10,912.87

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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.