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Finding the Fourth Proportional to 17,035.12, 23,508.23 and 9,866

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Solution

The fourth proportional to 17,035.12, 23,508.23 and 9,866 is: 13,614.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,035.12 : 23,508.23 = 9,866 : x
  2. Step 2: Convert to fraction form
    17,035.12/23,508.23 = 9,866/x
  3. Step 3: Cross multiply
    17,035.12x = 23,508.23 × 9,866
  4. Step 4: Simplify right side
    17,035.12x = 231,932,197.18
  5. Step 5: Solve for x
    x = 231,932,197.18/17,035.12
  6. Step 6: Final answer
    x = 13,614.94

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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.