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Finding the Fourth Proportional to 23,103.80, 31,882.52 and 13,032.09

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Solution

The fourth proportional to 23,103.80, 31,882.52 and 13,032.09 is: 17,983.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,103.80 : 31,882.52 = 13,032.09 : x
  2. Step 2: Convert to fraction form
    23,103.80/31,882.52 = 13,032.09/x
  3. Step 3: Cross multiply
    23,103.80x = 31,882.52 × 13,032.09
  4. Step 4: Simplify right side
    23,103.80x = 415,495,804.91
  5. Step 5: Solve for x
    x = 415,495,804.91/23,103.80
  6. Step 6: Final answer
    x = 17,983.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.