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Finding the Fourth Proportional to 22,283.40, 33,414.30 and 12,412.20

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Solution

The fourth proportional to 22,283.40, 33,414.30 and 12,412.20 is: 18,612.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,283.40 : 33,414.30 = 12,412.20 : x
  2. Step 2: Convert to fraction form
    22,283.40/33,414.30 = 12,412.20/x
  3. Step 3: Cross multiply
    22,283.40x = 33,414.30 × 12,412.20
  4. Step 4: Simplify right side
    22,283.40x = 414,744,974.46
  5. Step 5: Solve for x
    x = 414,744,974.46/22,283.40
  6. Step 6: Final answer
    x = 18,612.28

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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.