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Finding the Fourth Proportional to 17,538, 24,203.16 and 10,086

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Solution

The fourth proportional to 17,538, 24,203.16 and 10,086 is: 13,919.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538 : 24,203.16 = 10,086 : x
  2. Step 2: Convert to fraction form
    17,538/24,203.16 = 10,086/x
  3. Step 3: Cross multiply
    17,538x = 24,203.16 × 10,086
  4. Step 4: Simplify right side
    17,538x = 244,113,071.76
  5. Step 5: Solve for x
    x = 244,113,071.76/17,538
  6. Step 6: Final answer
    x = 13,919.09

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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.