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Finding the Fourth Proportional to 24,226.13, 36,338.16 and 7,585.80

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Solution

The fourth proportional to 24,226.13, 36,338.16 and 7,585.80 is: 11,378.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,226.13 : 36,338.16 = 7,585.80 : x
  2. Step 2: Convert to fraction form
    24,226.13/36,338.16 = 7,585.80/x
  3. Step 3: Cross multiply
    24,226.13x = 36,338.16 × 7,585.80
  4. Step 4: Simplify right side
    24,226.13x = 275,653,906.31
  5. Step 5: Solve for x
    x = 275,653,906.31/24,226.13
  6. Step 6: Final answer
    x = 11,378.37

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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.