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Finding the Fourth Proportional to 17,509.31, 24,163.41 and 9,551.87

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Solution

The fourth proportional to 17,509.31, 24,163.41 and 9,551.87 is: 13,181.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509.31 : 24,163.41 = 9,551.87 : x
  2. Step 2: Convert to fraction form
    17,509.31/24,163.41 = 9,551.87/x
  3. Step 3: Cross multiply
    17,509.31x = 24,163.41 × 9,551.87
  4. Step 4: Simplify right side
    17,509.31x = 230,805,751.08
  5. Step 5: Solve for x
    x = 230,805,751.08/17,509.31
  6. Step 6: Final answer
    x = 13,181.89

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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.