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Finding the Fourth Proportional to 17,633.87, 24,333.78 and 9,675.47

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Solution

The fourth proportional to 17,633.87, 24,333.78 and 9,675.47 is: 13,351.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,633.87 : 24,333.78 = 9,675.47 : x
  2. Step 2: Convert to fraction form
    17,633.87/24,333.78 = 9,675.47/x
  3. Step 3: Cross multiply
    17,633.87x = 24,333.78 × 9,675.47
  4. Step 4: Simplify right side
    17,633.87x = 235,440,782.93
  5. Step 5: Solve for x
    x = 235,440,782.93/17,633.87
  6. Step 6: Final answer
    x = 13,351.62

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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.