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Finding the Fourth Proportional to 22,822.57, 31,494.79 and 12,751.15

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Solution

The fourth proportional to 22,822.57, 31,494.79 and 12,751.15 is: 17,596.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,822.57 : 31,494.79 = 12,751.15 : x
  2. Step 2: Convert to fraction form
    22,822.57/31,494.79 = 12,751.15/x
  3. Step 3: Cross multiply
    22,822.57x = 31,494.79 × 12,751.15
  4. Step 4: Simplify right side
    22,822.57x = 401,594,791.51
  5. Step 5: Solve for x
    x = 401,594,791.51/22,822.57
  6. Step 6: Final answer
    x = 17,596.39

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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.