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Finding the Fourth Proportional to 17,159.46, 23,680.23 and 10,086

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Solution

The fourth proportional to 17,159.46, 23,680.23 and 10,086 is: 13,918.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,159.46 : 23,680.23 = 10,086 : x
  2. Step 2: Convert to fraction form
    17,159.46/23,680.23 = 10,086/x
  3. Step 3: Cross multiply
    17,159.46x = 23,680.23 × 10,086
  4. Step 4: Simplify right side
    17,159.46x = 238,838,799.78
  5. Step 5: Solve for x
    x = 238,838,799.78/17,159.46
  6. Step 6: Final answer
    x = 13,918.78

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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.