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Finding the Fourth Proportional to 26,502.25, 39,753.17 and 6,780.77

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Solution

The fourth proportional to 26,502.25, 39,753.17 and 6,780.77 is: 10,171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,502.25 : 39,753.17 = 6,780.77 : x
  2. Step 2: Convert to fraction form
    26,502.25/39,753.17 = 6,780.77/x
  3. Step 3: Cross multiply
    26,502.25x = 39,753.17 × 6,780.77
  4. Step 4: Simplify right side
    26,502.25x = 269,557,068.64
  5. Step 5: Solve for x
    x = 269,557,068.64/26,502.25
  6. Step 6: Final answer
    x = 10,171.10

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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.