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Finding the Fourth Proportional to 17,290, 23,861.82 and 9,838

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Solution

The fourth proportional to 17,290, 23,861.82 and 9,838 is: 13,577.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,290 : 23,861.82 = 9,838 : x
  2. Step 2: Convert to fraction form
    17,290/23,861.82 = 9,838/x
  3. Step 3: Cross multiply
    17,290x = 23,861.82 × 9,838
  4. Step 4: Simplify right side
    17,290x = 234,752,585.16
  5. Step 5: Solve for x
    x = 234,752,585.16/17,290
  6. Step 6: Final answer
    x = 13,577.36

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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.