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Finding the Fourth Proportional to 22,981.39, 34,463.16 and 8,939.54

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Solution

The fourth proportional to 22,981.39, 34,463.16 and 8,939.54 is: 13,405.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,981.39 : 34,463.16 = 8,939.54 : x
  2. Step 2: Convert to fraction form
    22,981.39/34,463.16 = 8,939.54/x
  3. Step 3: Cross multiply
    22,981.39x = 34,463.16 × 8,939.54
  4. Step 4: Simplify right side
    22,981.39x = 308,084,883.50
  5. Step 5: Solve for x
    x = 308,084,883.50/22,981.39
  6. Step 6: Final answer
    x = 13,405.84

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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.