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Finding the Fourth Proportional to 22,513.44, 33,767.28 and 8,666.40

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Solution

The fourth proportional to 22,513.44, 33,767.28 and 8,666.40 is: 12,998.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,513.44 : 33,767.28 = 8,666.40 : x
  2. Step 2: Convert to fraction form
    22,513.44/33,767.28 = 8,666.40/x
  3. Step 3: Cross multiply
    22,513.44x = 33,767.28 × 8,666.40
  4. Step 4: Simplify right side
    22,513.44x = 292,640,755.39
  5. Step 5: Solve for x
    x = 292,640,755.39/22,513.44
  6. Step 6: Final answer
    x = 12,998.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.