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Finding the Fourth Proportional to 17,747.51, 24,491.82 and 9,789.56

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Solution

The fourth proportional to 17,747.51, 24,491.82 and 9,789.56 is: 13,509.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,747.51 : 24,491.82 = 9,789.56 : x
  2. Step 2: Convert to fraction form
    17,747.51/24,491.82 = 9,789.56/x
  3. Step 3: Cross multiply
    17,747.51x = 24,491.82 × 9,789.56
  4. Step 4: Simplify right side
    17,747.51x = 239,764,092.43
  5. Step 5: Solve for x
    x = 239,764,092.43/17,747.51
  6. Step 6: Final answer
    x = 13,509.74

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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.