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Finding the Fourth Proportional to 22,661.60, 33,984.31 and 8,617.90

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Solution

The fourth proportional to 22,661.60, 33,984.31 and 8,617.90 is: 12,923.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,661.60 : 33,984.31 = 8,617.90 : x
  2. Step 2: Convert to fraction form
    22,661.60/33,984.31 = 8,617.90/x
  3. Step 3: Cross multiply
    22,661.60x = 33,984.31 × 8,617.90
  4. Step 4: Simplify right side
    22,661.60x = 292,873,385.15
  5. Step 5: Solve for x
    x = 292,873,385.15/22,661.60
  6. Step 6: Final answer
    x = 12,923.77

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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.