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Finding the Fourth Proportional to 23,464.80, 35,202.48 and 7,882

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Solution

The fourth proportional to 23,464.80, 35,202.48 and 7,882 is: 11,824.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,464.80 : 35,202.48 = 7,882 : x
  2. Step 2: Convert to fraction form
    23,464.80/35,202.48 = 7,882/x
  3. Step 3: Cross multiply
    23,464.80x = 35,202.48 × 7,882
  4. Step 4: Simplify right side
    23,464.80x = 277,465,947.36
  5. Step 5: Solve for x
    x = 277,465,947.36/23,464.80
  6. Step 6: Final answer
    x = 11,824.77

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Why These Related Problems?

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