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Finding the Fourth Proportional to 22,270.57, 30,733.59 and 12,839.13

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Solution

The fourth proportional to 22,270.57, 30,733.59 and 12,839.13 is: 17,718.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,270.57 : 30,733.59 = 12,839.13 : x
  2. Step 2: Convert to fraction form
    22,270.57/30,733.59 = 12,839.13/x
  3. Step 3: Cross multiply
    22,270.57x = 30,733.59 × 12,839.13
  4. Step 4: Simplify right side
    22,270.57x = 394,592,557.38
  5. Step 5: Solve for x
    x = 394,592,557.38/22,270.57
  6. Step 6: Final answer
    x = 17,718.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.