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Finding the Fourth Proportional to 12,667.70, 17,477.17 and 8,197.11

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Solution

The fourth proportional to 12,667.70, 17,477.17 and 8,197.11 is: 11,309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,667.70 : 17,477.17 = 8,197.11 : x
  2. Step 2: Convert to fraction form
    12,667.70/17,477.17 = 8,197.11/x
  3. Step 3: Cross multiply
    12,667.70x = 17,477.17 × 8,197.11
  4. Step 4: Simplify right side
    12,667.70x = 143,262,264.49
  5. Step 5: Solve for x
    x = 143,262,264.49/12,667.70
  6. Step 6: Final answer
    x = 11,309.25

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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.