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Finding the Fourth Proportional to 11,689.14, 17,533.77 and 3,369.20

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Solution

The fourth proportional to 11,689.14, 17,533.77 and 3,369.20 is: 5,053.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.14 : 17,533.77 = 3,369.20 : x
  2. Step 2: Convert to fraction form
    11,689.14/17,533.77 = 3,369.20/x
  3. Step 3: Cross multiply
    11,689.14x = 17,533.77 × 3,369.20
  4. Step 4: Simplify right side
    11,689.14x = 59,074,751.55
  5. Step 5: Solve for x
    x = 59,074,751.55/11,689.14
  6. Step 6: Final answer
    x = 5,053.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.