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Finding the Fourth Proportional to 13,033.08, 17,986.14 and 9,449.82

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Solution

The fourth proportional to 13,033.08, 17,986.14 and 9,449.82 is: 13,041.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.08 : 17,986.14 = 9,449.82 : x
  2. Step 2: Convert to fraction form
    13,033.08/17,986.14 = 9,449.82/x
  3. Step 3: Cross multiply
    13,033.08x = 17,986.14 × 9,449.82
  4. Step 4: Simplify right side
    13,033.08x = 169,965,785.49
  5. Step 5: Solve for x
    x = 169,965,785.49/13,033.08
  6. Step 6: Final answer
    x = 13,041.11

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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.