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Finding the Fourth Proportional to 26,569.34, 39,847.62 and 7,844.34

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Solution

The fourth proportional to 26,569.34, 39,847.62 and 7,844.34 is: 11,764.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,569.34 : 39,847.62 = 7,844.34 : x
  2. Step 2: Convert to fraction form
    26,569.34/39,847.62 = 7,844.34/x
  3. Step 3: Cross multiply
    26,569.34x = 39,847.62 × 7,844.34
  4. Step 4: Simplify right side
    26,569.34x = 312,578,279.47
  5. Step 5: Solve for x
    x = 312,578,279.47/26,569.34
  6. Step 6: Final answer
    x = 11,764.62

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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.