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Finding the Fourth Proportional to 22,981.91, 34,463.97 and 8,940.11

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Solution

The fourth proportional to 22,981.91, 34,463.97 and 8,940.11 is: 13,406.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,981.91 : 34,463.97 = 8,940.11 : x
  2. Step 2: Convert to fraction form
    22,981.91/34,463.97 = 8,940.11/x
  3. Step 3: Cross multiply
    22,981.91x = 34,463.97 × 8,940.11
  4. Step 4: Simplify right side
    22,981.91x = 308,111,510.52
  5. Step 5: Solve for x
    x = 308,111,510.52/22,981.91
  6. Step 6: Final answer
    x = 13,406.70

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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.