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Finding the Fourth Proportional to 23,144.88, 31,939.92 and 12,534.72

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Solution

The fourth proportional to 23,144.88, 31,939.92 and 12,534.72 is: 17,297.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,144.88 : 31,939.92 = 12,534.72 : x
  2. Step 2: Convert to fraction form
    23,144.88/31,939.92 = 12,534.72/x
  3. Step 3: Cross multiply
    23,144.88x = 31,939.92 × 12,534.72
  4. Step 4: Simplify right side
    23,144.88x = 400,357,954.02
  5. Step 5: Solve for x
    x = 400,357,954.02/23,144.88
  6. Step 6: Final answer
    x = 17,297.91

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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.