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Finding the Fourth Proportional to 23,807.88, 35,711.88 and 7,167.96

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Solution

The fourth proportional to 23,807.88, 35,711.88 and 7,167.96 is: 10,751.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,807.88 : 35,711.88 = 7,167.96 : x
  2. Step 2: Convert to fraction form
    23,807.88/35,711.88 = 7,167.96/x
  3. Step 3: Cross multiply
    23,807.88x = 35,711.88 × 7,167.96
  4. Step 4: Simplify right side
    23,807.88x = 255,981,327.36
  5. Step 5: Solve for x
    x = 255,981,327.36/23,807.88
  6. Step 6: Final answer
    x = 10,751.96

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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.