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Finding the Fourth Proportional to 11,486.60, 17,229.90 and 9,182.60

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Solution

The fourth proportional to 11,486.60, 17,229.90 and 9,182.60 is: 13,773.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.60 : 17,229.90 = 9,182.60 : x
  2. Step 2: Convert to fraction form
    11,486.60/17,229.90 = 9,182.60/x
  3. Step 3: Cross multiply
    11,486.60x = 17,229.90 × 9,182.60
  4. Step 4: Simplify right side
    11,486.60x = 158,215,279.74
  5. Step 5: Solve for x
    x = 158,215,279.74/11,486.60
  6. Step 6: Final answer
    x = 13,773.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.