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Finding the Fourth Proportional to 17,678.34, 24,396.57 and 9,721.08

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Solution

The fourth proportional to 17,678.34, 24,396.57 and 9,721.08 is: 13,415.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,678.34 : 24,396.57 = 9,721.08 : x
  2. Step 2: Convert to fraction form
    17,678.34/24,396.57 = 9,721.08/x
  3. Step 3: Cross multiply
    17,678.34x = 24,396.57 × 9,721.08
  4. Step 4: Simplify right side
    17,678.34x = 237,161,008.70
  5. Step 5: Solve for x
    x = 237,161,008.70/17,678.34
  6. Step 6: Final answer
    x = 13,415.34

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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.