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Finding the Fourth Proportional to 26,852.20, 40,294.14 and 10,226.22

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Solution

The fourth proportional to 26,852.20, 40,294.14 and 10,226.22 is: 15,345.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,852.20 : 40,294.14 = 10,226.22 : x
  2. Step 2: Convert to fraction form
    26,852.20/40,294.14 = 10,226.22/x
  3. Step 3: Cross multiply
    26,852.20x = 40,294.14 × 10,226.22
  4. Step 4: Simplify right side
    26,852.20x = 412,056,740.35
  5. Step 5: Solve for x
    x = 412,056,740.35/26,852.20
  6. Step 6: Final answer
    x = 15,345.36

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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.