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Finding the Fourth Proportional to 26,770.83, 40,158.22 and 7,049.25

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Solution

The fourth proportional to 26,770.83, 40,158.22 and 7,049.25 is: 10,574.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,770.83 : 40,158.22 = 7,049.25 : x
  2. Step 2: Convert to fraction form
    26,770.83/40,158.22 = 7,049.25/x
  3. Step 3: Cross multiply
    26,770.83x = 40,158.22 × 7,049.25
  4. Step 4: Simplify right side
    26,770.83x = 283,085,314.71
  5. Step 5: Solve for x
    x = 283,085,314.71/26,770.83
  6. Step 6: Final answer
    x = 10,574.39

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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.