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Finding the Fourth Proportional to 22,560.78, 33,702.81 and 16,267.08

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Solution

The fourth proportional to 22,560.78, 33,702.81 and 16,267.08 is: 24,300.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,560.78 : 33,702.81 = 16,267.08 : x
  2. Step 2: Convert to fraction form
    22,560.78/33,702.81 = 16,267.08/x
  3. Step 3: Cross multiply
    22,560.78x = 33,702.81 × 16,267.08
  4. Step 4: Simplify right side
    22,560.78x = 548,246,306.49
  5. Step 5: Solve for x
    x = 548,246,306.49/22,560.78
  6. Step 6: Final answer
    x = 24,300.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.