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Finding the Fourth Proportional to 22,719.31, 31,354.36 and 12,650.31

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Solution

The fourth proportional to 22,719.31, 31,354.36 and 12,650.31 is: 17,458.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,719.31 : 31,354.36 = 12,650.31 : x
  2. Step 2: Convert to fraction form
    22,719.31/31,354.36 = 12,650.31/x
  3. Step 3: Cross multiply
    22,719.31x = 31,354.36 × 12,650.31
  4. Step 4: Simplify right side
    22,719.31x = 396,642,342.23
  5. Step 5: Solve for x
    x = 396,642,342.23/22,719.31
  6. Step 6: Final answer
    x = 17,458.38

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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.