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Finding the Fourth Proportional to 26,542.74, 39,813.26 and 6,552.34

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Solution

The fourth proportional to 26,542.74, 39,813.26 and 6,552.34 is: 9,828.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,542.74 : 39,813.26 = 6,552.34 : x
  2. Step 2: Convert to fraction form
    26,542.74/39,813.26 = 6,552.34/x
  3. Step 3: Cross multiply
    26,542.74x = 39,813.26 × 6,552.34
  4. Step 4: Simplify right side
    26,542.74x = 260,870,016.03
  5. Step 5: Solve for x
    x = 260,870,016.03/26,542.74
  6. Step 6: Final answer
    x = 9,828.30

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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.