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Finding the Fourth Proportional to 23,947.38, 35,920.26 and 6,416.28

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Solution

The fourth proportional to 23,947.38, 35,920.26 and 6,416.28 is: 9,624.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,947.38 : 35,920.26 = 6,416.28 : x
  2. Step 2: Convert to fraction form
    23,947.38/35,920.26 = 6,416.28/x
  3. Step 3: Cross multiply
    23,947.38x = 35,920.26 × 6,416.28
  4. Step 4: Simplify right side
    23,947.38x = 230,474,445.83
  5. Step 5: Solve for x
    x = 230,474,445.83/23,947.38
  6. Step 6: Final answer
    x = 9,624.20

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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.