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Finding the Fourth Proportional to 17,747.22, 24,491.34 and 9,789.75

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Solution

The fourth proportional to 17,747.22, 24,491.34 and 9,789.75 is: 13,509.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,747.22 : 24,491.34 = 9,789.75 : x
  2. Step 2: Convert to fraction form
    17,747.22/24,491.34 = 9,789.75/x
  3. Step 3: Cross multiply
    17,747.22x = 24,491.34 × 9,789.75
  4. Step 4: Simplify right side
    17,747.22x = 239,764,095.77
  5. Step 5: Solve for x
    x = 239,764,095.77/17,747.22
  6. Step 6: Final answer
    x = 13,509.95

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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.