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Finding the Fourth Proportional to 24,270.82, 36,377.82 and 9,268.11

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Solution

The fourth proportional to 24,270.82, 36,377.82 and 9,268.11 is: 13,891.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,270.82 : 36,377.82 = 9,268.11 : x
  2. Step 2: Convert to fraction form
    24,270.82/36,377.82 = 9,268.11/x
  3. Step 3: Cross multiply
    24,270.82x = 36,377.82 × 9,268.11
  4. Step 4: Simplify right side
    24,270.82x = 337,153,637.32
  5. Step 5: Solve for x
    x = 337,153,637.32/24,270.82
  6. Step 6: Final answer
    x = 13,891.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.