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Finding the Fourth Proportional to 22,472.40, 33,713.10 and 6,677.40

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Solution

The fourth proportional to 22,472.40, 33,713.10 and 6,677.40 is: 10,017.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,472.40 : 33,713.10 = 6,677.40 : x
  2. Step 2: Convert to fraction form
    22,472.40/33,713.10 = 6,677.40/x
  3. Step 3: Cross multiply
    22,472.40x = 33,713.10 × 6,677.40
  4. Step 4: Simplify right side
    22,472.40x = 225,115,853.94
  5. Step 5: Solve for x
    x = 225,115,853.94/22,472.40
  6. Step 6: Final answer
    x = 10,017.44

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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.