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Finding the Fourth Proportional to 17,159.96, 23,680.92 and 10,086.50

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Solution

The fourth proportional to 17,159.96, 23,680.92 and 10,086.50 is: 13,919.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,159.96 : 23,680.92 = 10,086.50 : x
  2. Step 2: Convert to fraction form
    17,159.96/23,680.92 = 10,086.50/x
  3. Step 3: Cross multiply
    17,159.96x = 23,680.92 × 10,086.50
  4. Step 4: Simplify right side
    17,159.96x = 238,857,599.58
  5. Step 5: Solve for x
    x = 238,857,599.58/17,159.96
  6. Step 6: Final answer
    x = 13,919.47

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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.