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Finding the Fourth Proportional to 22,794.29, 31,456.15 and 12,722.72

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Solution

The fourth proportional to 22,794.29, 31,456.15 and 12,722.72 is: 17,557.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,794.29 : 31,456.15 = 12,722.72 : x
  2. Step 2: Convert to fraction form
    22,794.29/31,456.15 = 12,722.72/x
  3. Step 3: Cross multiply
    22,794.29x = 31,456.15 × 12,722.72
  4. Step 4: Simplify right side
    22,794.29x = 400,207,916.37
  5. Step 5: Solve for x
    x = 400,207,916.37/22,794.29
  6. Step 6: Final answer
    x = 17,557.38

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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.