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Finding the Fourth Proportional to 17,678.26, 24,396.42 and 9,721

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Solution

The fourth proportional to 17,678.26, 24,396.42 and 9,721 is: 13,415.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,678.26 : 24,396.42 = 9,721 : x
  2. Step 2: Convert to fraction form
    17,678.26/24,396.42 = 9,721/x
  3. Step 3: Cross multiply
    17,678.26x = 24,396.42 × 9,721
  4. Step 4: Simplify right side
    17,678.26x = 237,157,598.82
  5. Step 5: Solve for x
    x = 237,157,598.82/17,678.26
  6. Step 6: Final answer
    x = 13,415.21

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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.