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Finding the Fourth Proportional to 22,280.49, 33,282.20 and 17,906.49

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Solution

The fourth proportional to 22,280.49, 33,282.20 and 17,906.49 is: 26,748.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,280.49 : 33,282.20 = 17,906.49 : x
  2. Step 2: Convert to fraction form
    22,280.49/33,282.20 = 17,906.49/x
  3. Step 3: Cross multiply
    22,280.49x = 33,282.20 × 17,906.49
  4. Step 4: Simplify right side
    22,280.49x = 595,967,426.24
  5. Step 5: Solve for x
    x = 595,967,426.24/22,280.49
  6. Step 6: Final answer
    x = 26,748.40

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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.