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Finding the Fourth Proportional to 23,660.28, 35,488.80 and 8,077.56

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Solution

The fourth proportional to 23,660.28, 35,488.80 and 8,077.56 is: 12,115.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,660.28 : 35,488.80 = 8,077.56 : x
  2. Step 2: Convert to fraction form
    23,660.28/35,488.80 = 8,077.56/x
  3. Step 3: Cross multiply
    23,660.28x = 35,488.80 × 8,077.56
  4. Step 4: Simplify right side
    23,660.28x = 286,662,911.33
  5. Step 5: Solve for x
    x = 286,662,911.33/23,660.28
  6. Step 6: Final answer
    x = 12,115.79

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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.