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Finding the Fourth Proportional to 23,144.59, 31,939.46 and 12,534.22

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Solution

The fourth proportional to 23,144.59, 31,939.46 and 12,534.22 is: 17,297.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,144.59 : 31,939.46 = 12,534.22 : x
  2. Step 2: Convert to fraction form
    23,144.59/31,939.46 = 12,534.22/x
  3. Step 3: Cross multiply
    23,144.59x = 31,939.46 × 12,534.22
  4. Step 4: Simplify right side
    23,144.59x = 400,336,138.47
  5. Step 5: Solve for x
    x = 400,336,138.47/23,144.59
  6. Step 6: Final answer
    x = 17,297.18

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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.