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Finding the Fourth Proportional to 23,145, 31,939.96 and 12,534.52

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Solution

The fourth proportional to 23,145, 31,939.96 and 12,534.52 is: 17,297.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,145 : 31,939.96 = 12,534.52 : x
  2. Step 2: Convert to fraction form
    23,145/31,939.96 = 12,534.52/x
  3. Step 3: Cross multiply
    23,145x = 31,939.96 × 12,534.52
  4. Step 4: Simplify right side
    23,145x = 400,352,067.42
  5. Step 5: Solve for x
    x = 400,352,067.42/23,145
  6. Step 6: Final answer
    x = 17,297.56

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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.