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Finding the Fourth Proportional to 22,832.38, 31,507.14 and 12,760.30

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Solution

The fourth proportional to 22,832.38, 31,507.14 and 12,760.30 is: 17,608.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,832.38 : 31,507.14 = 12,760.30 : x
  2. Step 2: Convert to fraction form
    22,832.38/31,507.14 = 12,760.30/x
  3. Step 3: Cross multiply
    22,832.38x = 31,507.14 × 12,760.30
  4. Step 4: Simplify right side
    22,832.38x = 402,040,558.54
  5. Step 5: Solve for x
    x = 402,040,558.54/22,832.38
  6. Step 6: Final answer
    x = 17,608.35

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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.