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Finding the Fourth Proportional to 12,196.27, 18,308.95 and 7,268.23

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Solution

The fourth proportional to 12,196.27, 18,308.95 and 7,268.23 is: 10,911.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.27 : 18,308.95 = 7,268.23 : x
  2. Step 2: Convert to fraction form
    12,196.27/18,308.95 = 7,268.23/x
  3. Step 3: Cross multiply
    12,196.27x = 18,308.95 × 7,268.23
  4. Step 4: Simplify right side
    12,196.27x = 133,073,531.77
  5. Step 5: Solve for x
    x = 133,073,531.77/12,196.27
  6. Step 6: Final answer
    x = 10,911.01

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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.