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Finding the Fourth Proportional to 12,181.16, 16,805.48 and 9,002.12

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Solution

The fourth proportional to 12,181.16, 16,805.48 and 9,002.12 is: 12,419.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.16 : 16,805.48 = 9,002.12 : x
  2. Step 2: Convert to fraction form
    12,181.16/16,805.48 = 9,002.12/x
  3. Step 3: Cross multiply
    12,181.16x = 16,805.48 × 9,002.12
  4. Step 4: Simplify right side
    12,181.16x = 151,284,947.62
  5. Step 5: Solve for x
    x = 151,284,947.62/12,181.16
  6. Step 6: Final answer
    x = 12,419.58

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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.