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Finding the Fourth Proportional to 15,919.96, 23,832.42 and 9,661

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Solution

The fourth proportional to 15,919.96, 23,832.42 and 9,661 is: 14,462.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,919.96 : 23,832.42 = 9,661 : x
  2. Step 2: Convert to fraction form
    15,919.96/23,832.42 = 9,661/x
  3. Step 3: Cross multiply
    15,919.96x = 23,832.42 × 9,661
  4. Step 4: Simplify right side
    15,919.96x = 230,245,009.62
  5. Step 5: Solve for x
    x = 230,245,009.62/15,919.96
  6. Step 6: Final answer
    x = 14,462.66

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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.