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Finding the Fourth Proportional to 26,506.84, 39,760.44 and 7,787.20

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Solution

The fourth proportional to 26,506.84, 39,760.44 and 7,787.20 is: 11,680.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,506.84 : 39,760.44 = 7,787.20 : x
  2. Step 2: Convert to fraction form
    26,506.84/39,760.44 = 7,787.20/x
  3. Step 3: Cross multiply
    26,506.84x = 39,760.44 × 7,787.20
  4. Step 4: Simplify right side
    26,506.84x = 309,622,498.37
  5. Step 5: Solve for x
    x = 309,622,498.37/26,506.84
  6. Step 6: Final answer
    x = 11,680.85

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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.