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Finding the Fourth Proportional to 22,292.93, 30,767.38 and 13,797.78

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Solution

The fourth proportional to 22,292.93, 30,767.38 and 13,797.78 is: 19,042.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,292.93 : 30,767.38 = 13,797.78 : x
  2. Step 2: Convert to fraction form
    22,292.93/30,767.38 = 13,797.78/x
  3. Step 3: Cross multiply
    22,292.93x = 30,767.38 × 13,797.78
  4. Step 4: Simplify right side
    22,292.93x = 424,521,390.54
  5. Step 5: Solve for x
    x = 424,521,390.54/22,292.93
  6. Step 6: Final answer
    x = 19,042.87

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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.