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Finding the Fourth Proportional to 26,902.26, 40,370.40 and 10,264.05

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Solution

The fourth proportional to 26,902.26, 40,370.40 and 10,264.05 is: 15,402.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,902.26 : 40,370.40 = 10,264.05 : x
  2. Step 2: Convert to fraction form
    26,902.26/40,370.40 = 10,264.05/x
  3. Step 3: Cross multiply
    26,902.26x = 40,370.40 × 10,264.05
  4. Step 4: Simplify right side
    26,902.26x = 414,363,804.12
  5. Step 5: Solve for x
    x = 414,363,804.12/26,902.26
  6. Step 6: Final answer
    x = 15,402.56

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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.