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Finding the Fourth Proportional to 22,632.90, 33,948.81 and 8,781.90

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Solution

The fourth proportional to 22,632.90, 33,948.81 and 8,781.90 is: 13,172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,632.90 : 33,948.81 = 8,781.90 : x
  2. Step 2: Convert to fraction form
    22,632.90/33,948.81 = 8,781.90/x
  3. Step 3: Cross multiply
    22,632.90x = 33,948.81 × 8,781.90
  4. Step 4: Simplify right side
    22,632.90x = 298,135,054.54
  5. Step 5: Solve for x
    x = 298,135,054.54/22,632.90
  6. Step 6: Final answer
    x = 13,172.64

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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.