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Finding the Fourth Proportional to 23,443, 35,162.67 and 10,295.48

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Solution

The fourth proportional to 23,443, 35,162.67 and 10,295.48 is: 15,442.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,443 : 35,162.67 = 10,295.48 : x
  2. Step 2: Convert to fraction form
    23,443/35,162.67 = 10,295.48/x
  3. Step 3: Cross multiply
    23,443x = 35,162.67 × 10,295.48
  4. Step 4: Simplify right side
    23,443x = 362,016,565.73
  5. Step 5: Solve for x
    x = 362,016,565.73/23,443
  6. Step 6: Final answer
    x = 15,442.42

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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.