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Finding the Fourth Proportional to 23,555.75, 35,338.78 and 7,760.14

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Solution

The fourth proportional to 23,555.75, 35,338.78 and 7,760.14 is: 11,641.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,555.75 : 35,338.78 = 7,760.14 : x
  2. Step 2: Convert to fraction form
    23,555.75/35,338.78 = 7,760.14/x
  3. Step 3: Cross multiply
    23,555.75x = 35,338.78 × 7,760.14
  4. Step 4: Simplify right side
    23,555.75x = 274,233,801.58
  5. Step 5: Solve for x
    x = 274,233,801.58/23,555.75
  6. Step 6: Final answer
    x = 11,641.91

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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.