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Finding the Fourth Proportional to 23,697.38, 35,515.40 and 9,641.05

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Solution

The fourth proportional to 23,697.38, 35,515.40 and 9,641.05 is: 14,449.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,697.38 : 35,515.40 = 9,641.05 : x
  2. Step 2: Convert to fraction form
    23,697.38/35,515.40 = 9,641.05/x
  3. Step 3: Cross multiply
    23,697.38x = 35,515.40 × 9,641.05
  4. Step 4: Simplify right side
    23,697.38x = 342,405,610.18
  5. Step 5: Solve for x
    x = 342,405,610.18/23,697.38
  6. Step 6: Final answer
    x = 14,449.09

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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.