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Finding the Fourth Proportional to 17,919.82, 24,729.15 and 9,962.74

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Solution

The fourth proportional to 17,919.82, 24,729.15 and 9,962.74 is: 13,748.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,919.82 : 24,729.15 = 9,962.74 : x
  2. Step 2: Convert to fraction form
    17,919.82/24,729.15 = 9,962.74/x
  3. Step 3: Cross multiply
    17,919.82x = 24,729.15 × 9,962.74
  4. Step 4: Simplify right side
    17,919.82x = 246,370,091.87
  5. Step 5: Solve for x
    x = 246,370,091.87/17,919.82
  6. Step 6: Final answer
    x = 13,748.47

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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.