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Finding the Fourth Proportional to 24,418.57, 36,628.97 and 7,777.04

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Solution

The fourth proportional to 24,418.57, 36,628.97 and 7,777.04 is: 11,665.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,418.57 : 36,628.97 = 7,777.04 : x
  2. Step 2: Convert to fraction form
    24,418.57/36,628.97 = 7,777.04/x
  3. Step 3: Cross multiply
    24,418.57x = 36,628.97 × 7,777.04
  4. Step 4: Simplify right side
    24,418.57x = 284,864,742.82
  5. Step 5: Solve for x
    x = 284,864,742.82/24,418.57
  6. Step 6: Final answer
    x = 11,665.91

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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.