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Finding the Fourth Proportional to 12,549.57, 17,308.83 and 9,191.17

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Solution

The fourth proportional to 12,549.57, 17,308.83 and 9,191.17 is: 12,676.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,549.57 : 17,308.83 = 9,191.17 : x
  2. Step 2: Convert to fraction form
    12,549.57/17,308.83 = 9,191.17/x
  3. Step 3: Cross multiply
    12,549.57x = 17,308.83 × 9,191.17
  4. Step 4: Simplify right side
    12,549.57x = 159,088,399.03
  5. Step 5: Solve for x
    x = 159,088,399.03/12,549.57
  6. Step 6: Final answer
    x = 12,676.80

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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.