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Finding the Fourth Proportional to 24,221.16, 36,313.92 and 7,571.88

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Solution

The fourth proportional to 24,221.16, 36,313.92 and 7,571.88 is: 11,352.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,221.16 : 36,313.92 = 7,571.88 : x
  2. Step 2: Convert to fraction form
    24,221.16/36,313.92 = 7,571.88/x
  3. Step 3: Cross multiply
    24,221.16x = 36,313.92 × 7,571.88
  4. Step 4: Simplify right side
    24,221.16x = 274,964,644.57
  5. Step 5: Solve for x
    x = 274,964,644.57/24,221.16
  6. Step 6: Final answer
    x = 11,352.25

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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.