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Finding the Fourth Proportional to 17,182.62, 23,705.19 and 10,097.82

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Solution

The fourth proportional to 17,182.62, 23,705.19 and 10,097.82 is: 13,930.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,182.62 : 23,705.19 = 10,097.82 : x
  2. Step 2: Convert to fraction form
    17,182.62/23,705.19 = 10,097.82/x
  3. Step 3: Cross multiply
    17,182.62x = 23,705.19 × 10,097.82
  4. Step 4: Simplify right side
    17,182.62x = 239,370,741.69
  5. Step 5: Solve for x
    x = 239,370,741.69/17,182.62
  6. Step 6: Final answer
    x = 13,930.98

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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.