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Finding the Fourth Proportional to 23,151.92, 31,949.61 and 12,541.82

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Solution

The fourth proportional to 23,151.92, 31,949.61 and 12,541.82 is: 17,307.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,151.92 : 31,949.61 = 12,541.82 : x
  2. Step 2: Convert to fraction form
    23,151.92/31,949.61 = 12,541.82/x
  3. Step 3: Cross multiply
    23,151.92x = 31,949.61 × 12,541.82
  4. Step 4: Simplify right side
    23,151.92x = 400,706,257.69
  5. Step 5: Solve for x
    x = 400,706,257.69/23,151.92
  6. Step 6: Final answer
    x = 17,307.69

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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.