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Finding the Fourth Proportional to 23,151.50, 31,949.04 and 12,541.18

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Solution

The fourth proportional to 23,151.50, 31,949.04 and 12,541.18 is: 17,306.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,151.50 : 31,949.04 = 12,541.18 : x
  2. Step 2: Convert to fraction form
    23,151.50/31,949.04 = 12,541.18/x
  3. Step 3: Cross multiply
    23,151.50x = 31,949.04 × 12,541.18
  4. Step 4: Simplify right side
    23,151.50x = 400,678,628.62
  5. Step 5: Solve for x
    x = 400,678,628.62/23,151.50
  6. Step 6: Final answer
    x = 17,306.81

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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.