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Finding the Fourth Proportional to 17,491.82, 24,138.72 and 9,533.88

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Solution

The fourth proportional to 17,491.82, 24,138.72 and 9,533.88 is: 13,156.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,491.82 : 24,138.72 = 9,533.88 : x
  2. Step 2: Convert to fraction form
    17,491.82/24,138.72 = 9,533.88/x
  3. Step 3: Cross multiply
    17,491.82x = 24,138.72 × 9,533.88
  4. Step 4: Simplify right side
    17,491.82x = 230,135,659.83
  5. Step 5: Solve for x
    x = 230,135,659.83/17,491.82
  6. Step 6: Final answer
    x = 13,156.76

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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.