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Finding the Fourth Proportional to 17,687.08, 24,406.14 and 9,728.56

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Solution

The fourth proportional to 17,687.08, 24,406.14 and 9,728.56 is: 13,424.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,687.08 : 24,406.14 = 9,728.56 : x
  2. Step 2: Convert to fraction form
    17,687.08/24,406.14 = 9,728.56/x
  3. Step 3: Cross multiply
    17,687.08x = 24,406.14 × 9,728.56
  4. Step 4: Simplify right side
    17,687.08x = 237,436,597.36
  5. Step 5: Solve for x
    x = 237,436,597.36/17,687.08
  6. Step 6: Final answer
    x = 13,424.30

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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.