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Finding the Fourth Proportional to 19,511.27, 29,268.12 and 7,822.97

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Solution

The fourth proportional to 19,511.27, 29,268.12 and 7,822.97 is: 11,734.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,511.27 : 29,268.12 = 7,822.97 : x
  2. Step 2: Convert to fraction form
    19,511.27/29,268.12 = 7,822.97/x
  3. Step 3: Cross multiply
    19,511.27x = 29,268.12 × 7,822.97
  4. Step 4: Simplify right side
    19,511.27x = 228,963,478.38
  5. Step 5: Solve for x
    x = 228,963,478.38/19,511.27
  6. Step 6: Final answer
    x = 11,734.94

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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.