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Finding the Fourth Proportional to 17,678.88, 24,396.96 and 9,721.62

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Solution

The fourth proportional to 17,678.88, 24,396.96 and 9,721.62 is: 13,415.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,678.88 : 24,396.96 = 9,721.62 : x
  2. Step 2: Convert to fraction form
    17,678.88/24,396.96 = 9,721.62/x
  3. Step 3: Cross multiply
    17,678.88x = 24,396.96 × 9,721.62
  4. Step 4: Simplify right side
    17,678.88x = 237,177,974.28
  5. Step 5: Solve for x
    x = 237,177,974.28/17,678.88
  6. Step 6: Final answer
    x = 13,415.89

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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.