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Finding the Fourth Proportional to 17,721.93, 24,456.41 and 9,764.17

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Solution

The fourth proportional to 17,721.93, 24,456.41 and 9,764.17 is: 13,474.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,721.93 : 24,456.41 = 9,764.17 : x
  2. Step 2: Convert to fraction form
    17,721.93/24,456.41 = 9,764.17/x
  3. Step 3: Cross multiply
    17,721.93x = 24,456.41 × 9,764.17
  4. Step 4: Simplify right side
    17,721.93x = 238,796,544.83
  5. Step 5: Solve for x
    x = 238,796,544.83/17,721.93
  6. Step 6: Final answer
    x = 13,474.64

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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.