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Finding the Fourth Proportional to 23,144.61, 31,939.49 and 12,534.21

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Solution

The fourth proportional to 23,144.61, 31,939.49 and 12,534.21 is: 17,297.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,144.61 : 31,939.49 = 12,534.21 : x
  2. Step 2: Convert to fraction form
    23,144.61/31,939.49 = 12,534.21/x
  3. Step 3: Cross multiply
    23,144.61x = 31,939.49 × 12,534.21
  4. Step 4: Simplify right side
    23,144.61x = 400,336,323.47
  5. Step 5: Solve for x
    x = 400,336,323.47/23,144.61
  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.