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Finding the Fourth Proportional to 23,697.47, 35,515.37 and 9,641.12

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Solution

The fourth proportional to 23,697.47, 35,515.37 and 9,641.12 is: 14,449.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,697.47 : 35,515.37 = 9,641.12 : x
  2. Step 2: Convert to fraction form
    23,697.47/35,515.37 = 9,641.12/x
  3. Step 3: Cross multiply
    23,697.47x = 35,515.37 × 9,641.12
  4. Step 4: Simplify right side
    23,697.47x = 342,407,790.54
  5. Step 5: Solve for x
    x = 342,407,790.54/23,697.47
  6. Step 6: Final answer
    x = 14,449.13

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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.