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Finding the Fourth Proportional to 23,206.91, 34,812.25 and 7,414.07

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Solution

The fourth proportional to 23,206.91, 34,812.25 and 7,414.07 is: 11,121.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,206.91 : 34,812.25 = 7,414.07 : x
  2. Step 2: Convert to fraction form
    23,206.91/34,812.25 = 7,414.07/x
  3. Step 3: Cross multiply
    23,206.91x = 34,812.25 × 7,414.07
  4. Step 4: Simplify right side
    23,206.91x = 258,100,265.76
  5. Step 5: Solve for x
    x = 258,100,265.76/23,206.91
  6. Step 6: Final answer
    x = 11,121.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.