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Finding the Fourth Proportional to 23,151.62, 31,949.22 and 12,541.26

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Solution

The fourth proportional to 23,151.62, 31,949.22 and 12,541.26 is: 17,306.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,151.62 : 31,949.22 = 12,541.26 : x
  2. Step 2: Convert to fraction form
    23,151.62/31,949.22 = 12,541.26/x
  3. Step 3: Cross multiply
    23,151.62x = 31,949.22 × 12,541.26
  4. Step 4: Simplify right side
    23,151.62x = 400,683,474.82
  5. Step 5: Solve for x
    x = 400,683,474.82/23,151.62
  6. Step 6: Final answer
    x = 17,306.93

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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.