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Finding the Fourth Proportional to 17,919.47, 24,729.71 and 9,961.83

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Solution

The fourth proportional to 17,919.47, 24,729.71 and 9,961.83 is: 13,747.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,919.47 : 24,729.71 = 9,961.83 : x
  2. Step 2: Convert to fraction form
    17,919.47/24,729.71 = 9,961.83/x
  3. Step 3: Cross multiply
    17,919.47x = 24,729.71 × 9,961.83
  4. Step 4: Simplify right side
    17,919.47x = 246,353,117.16
  5. Step 5: Solve for x
    x = 246,353,117.16/17,919.47
  6. Step 6: Final answer
    x = 13,747.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.