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Finding the Fourth Proportional to 23,107.74, 31,874.00 and 15,150.48

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Solution

The fourth proportional to 23,107.74, 31,874.00 and 15,150.48 is: 20,898.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,107.74 : 31,874.00 = 15,150.48 : x
  2. Step 2: Convert to fraction form
    23,107.74/31,874.00 = 15,150.48/x
  3. Step 3: Cross multiply
    23,107.74x = 31,874.00 × 15,150.48
  4. Step 4: Simplify right side
    23,107.74x = 482,906,437.40
  5. Step 5: Solve for x
    x = 482,906,437.40/23,107.74
  6. Step 6: Final answer
    x = 20,898.04

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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.