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Finding the Fourth Proportional to 24,616.38, 36,920.93 and 7,977.87

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Solution

The fourth proportional to 24,616.38, 36,920.93 and 7,977.87 is: 11,965.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,616.38 : 36,920.93 = 7,977.87 : x
  2. Step 2: Convert to fraction form
    24,616.38/36,920.93 = 7,977.87/x
  3. Step 3: Cross multiply
    24,616.38x = 36,920.93 × 7,977.87
  4. Step 4: Simplify right side
    24,616.38x = 294,550,379.82
  5. Step 5: Solve for x
    x = 294,550,379.82/24,616.38
  6. Step 6: Final answer
    x = 11,965.63

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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.