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Finding the Fourth Proportional to 17,647.97, 24,353.64 and 9,690.17

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Solution

The fourth proportional to 17,647.97, 24,353.64 and 9,690.17 is: 13,372.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,647.97 : 24,353.64 = 9,690.17 : x
  2. Step 2: Convert to fraction form
    17,647.97/24,353.64 = 9,690.17/x
  3. Step 3: Cross multiply
    17,647.97x = 24,353.64 × 9,690.17
  4. Step 4: Simplify right side
    17,647.97x = 235,990,789.95
  5. Step 5: Solve for x
    x = 235,990,789.95/17,647.97
  6. Step 6: Final answer
    x = 13,372.12

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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.