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Finding the Fourth Proportional to 23,641.20, 35,458.92 and 6,112.26

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Solution

The fourth proportional to 23,641.20, 35,458.92 and 6,112.26 is: 9,167.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,641.20 : 35,458.92 = 6,112.26 : x
  2. Step 2: Convert to fraction form
    23,641.20/35,458.92 = 6,112.26/x
  3. Step 3: Cross multiply
    23,641.20x = 35,458.92 × 6,112.26
  4. Step 4: Simplify right side
    23,641.20x = 216,734,138.36
  5. Step 5: Solve for x
    x = 216,734,138.36/23,641.20
  6. Step 6: Final answer
    x = 9,167.65

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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.