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Finding the Fourth Proportional to 13,196.40, 18,213.09 and 7,531.14

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Solution

The fourth proportional to 13,196.40, 18,213.09 and 7,531.14 is: 10,394.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196.40 : 18,213.09 = 7,531.14 : x
  2. Step 2: Convert to fraction form
    13,196.40/18,213.09 = 7,531.14/x
  3. Step 3: Cross multiply
    13,196.40x = 18,213.09 × 7,531.14
  4. Step 4: Simplify right side
    13,196.40x = 137,165,330.62
  5. Step 5: Solve for x
    x = 137,165,330.62/13,196.40
  6. Step 6: Final answer
    x = 10,394.15

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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.