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Finding the Fourth Proportional to 12,284.38, 18,414.64 and 5,266.22

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Solution

The fourth proportional to 12,284.38, 18,414.64 and 5,266.22 is: 7,894.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284.38 : 18,414.64 = 5,266.22 : x
  2. Step 2: Convert to fraction form
    12,284.38/18,414.64 = 5,266.22/x
  3. Step 3: Cross multiply
    12,284.38x = 18,414.64 × 5,266.22
  4. Step 4: Simplify right side
    12,284.38x = 96,975,545.46
  5. Step 5: Solve for x
    x = 96,975,545.46/12,284.38
  6. Step 6: Final answer
    x = 7,894.22

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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.