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Finding the Fourth Proportional to 12,549.74, 17,308.96 and 9,191.34

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Solution

The fourth proportional to 12,549.74, 17,308.96 and 9,191.34 is: 12,676.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,549.74 : 17,308.96 = 9,191.34 : x
  2. Step 2: Convert to fraction form
    12,549.74/17,308.96 = 9,191.34/x
  3. Step 3: Cross multiply
    12,549.74x = 17,308.96 × 9,191.34
  4. Step 4: Simplify right side
    12,549.74x = 159,092,513.43
  5. Step 5: Solve for x
    x = 159,092,513.43/12,549.74
  6. Step 6: Final answer
    x = 12,676.96

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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.