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Finding the Fourth Proportional to 23,862.70, 35,778.25 and 11,384.65

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Solution

The fourth proportional to 23,862.70, 35,778.25 and 11,384.65 is: 17,069.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,862.70 : 35,778.25 = 11,384.65 : x
  2. Step 2: Convert to fraction form
    23,862.70/35,778.25 = 11,384.65/x
  3. Step 3: Cross multiply
    23,862.70x = 35,778.25 × 11,384.65
  4. Step 4: Simplify right side
    23,862.70x = 407,322,735.96
  5. Step 5: Solve for x
    x = 407,322,735.96/23,862.70
  6. Step 6: Final answer
    x = 17,069.43

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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.