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Finding the Fourth Proportional to 17,509.74, 24,163.41 and 9,551.96

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Solution

The fourth proportional to 17,509.74, 24,163.41 and 9,551.96 is: 13,181.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509.74 : 24,163.41 = 9,551.96 : x
  2. Step 2: Convert to fraction form
    17,509.74/24,163.41 = 9,551.96/x
  3. Step 3: Cross multiply
    17,509.74x = 24,163.41 × 9,551.96
  4. Step 4: Simplify right side
    17,509.74x = 230,807,986.19
  5. Step 5: Solve for x
    x = 230,807,986.19/17,509.74
  6. Step 6: Final answer
    x = 13,181.69

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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.