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Finding the Fourth Proportional to 17,710.87, 24,441.25 and 9,644.82

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Solution

The fourth proportional to 17,710.87, 24,441.25 and 9,644.82 is: 13,309.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,710.87 : 24,441.25 = 9,644.82 : x
  2. Step 2: Convert to fraction form
    17,710.87/24,441.25 = 9,644.82/x
  3. Step 3: Cross multiply
    17,710.87x = 24,441.25 × 9,644.82
  4. Step 4: Simplify right side
    17,710.87x = 235,731,456.83
  5. Step 5: Solve for x
    x = 235,731,456.83/17,710.87
  6. Step 6: Final answer
    x = 13,309.99

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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.