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Finding the Fourth Proportional to 24,391.77, 36,590.76 and 7,745.87

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Solution

The fourth proportional to 24,391.77, 36,590.76 and 7,745.87 is: 11,619.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,391.77 : 36,590.76 = 7,745.87 : x
  2. Step 2: Convert to fraction form
    24,391.77/36,590.76 = 7,745.87/x
  3. Step 3: Cross multiply
    24,391.77x = 36,590.76 × 7,745.87
  4. Step 4: Simplify right side
    24,391.77x = 283,427,087.21
  5. Step 5: Solve for x
    x = 283,427,087.21/24,391.77
  6. Step 6: Final answer
    x = 11,619.78

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1.5x scale

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.