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Finding the Fourth Proportional to 24,241.24, 36,362.31 and 7,600.90

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Solution

The fourth proportional to 24,241.24, 36,362.31 and 7,600.90 is: 11,401.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,241.24 : 36,362.31 = 7,600.90 : x
  2. Step 2: Convert to fraction form
    24,241.24/36,362.31 = 7,600.90/x
  3. Step 3: Cross multiply
    24,241.24x = 36,362.31 × 7,600.90
  4. Step 4: Simplify right side
    24,241.24x = 276,386,282.08
  5. Step 5: Solve for x
    x = 276,386,282.08/24,241.24
  6. Step 6: Final answer
    x = 11,401.49

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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.