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Finding the Fourth Proportional to 23,103.92, 31,882.20 and 13,032.38

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Solution

The fourth proportional to 23,103.92, 31,882.20 and 13,032.38 is: 17,984.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,103.92 : 31,882.20 = 13,032.38 : x
  2. Step 2: Convert to fraction form
    23,103.92/31,882.20 = 13,032.38/x
  3. Step 3: Cross multiply
    23,103.92x = 31,882.20 × 13,032.38
  4. Step 4: Simplify right side
    23,103.92x = 415,500,945.64
  5. Step 5: Solve for x
    x = 415,500,945.64/23,103.92
  6. Step 6: Final answer
    x = 17,984.00

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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.