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Finding the Fourth Proportional to 26,511.96, 39,758.19 and 7,787.19

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Solution

The fourth proportional to 26,511.96, 39,758.19 and 7,787.19 is: 11,677.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,511.96 : 39,758.19 = 7,787.19 : x
  2. Step 2: Convert to fraction form
    26,511.96/39,758.19 = 7,787.19/x
  3. Step 3: Cross multiply
    26,511.96x = 39,758.19 × 7,787.19
  4. Step 4: Simplify right side
    26,511.96x = 309,604,579.59
  5. Step 5: Solve for x
    x = 309,604,579.59/26,511.96
  6. Step 6: Final answer
    x = 11,677.92

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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.