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Finding the Fourth Proportional to 17,686.25, 24,406.63 and 9,728.31

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Solution

The fourth proportional to 17,686.25, 24,406.63 and 9,728.31 is: 13,424.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,686.25 : 24,406.63 = 9,728.31 : x
  2. Step 2: Convert to fraction form
    17,686.25/24,406.63 = 9,728.31/x
  3. Step 3: Cross multiply
    17,686.25x = 24,406.63 × 9,728.31
  4. Step 4: Simplify right side
    17,686.25x = 237,435,238.37
  5. Step 5: Solve for x
    x = 237,435,238.37/17,686.25
  6. Step 6: Final answer
    x = 13,424.85

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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.