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Finding the Fourth Proportional to 12,681.34, 17,494.36 and 8,206.54

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Solution

The fourth proportional to 12,681.34, 17,494.36 and 8,206.54 is: 11,321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,681.34 : 17,494.36 = 8,206.54 : x
  2. Step 2: Convert to fraction form
    12,681.34/17,494.36 = 8,206.54/x
  3. Step 3: Cross multiply
    12,681.34x = 17,494.36 × 8,206.54
  4. Step 4: Simplify right side
    12,681.34x = 143,568,165.11
  5. Step 5: Solve for x
    x = 143,568,165.11/12,681.34
  6. Step 6: Final answer
    x = 11,321.21

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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.