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Finding the Fourth Proportional to 24,205.99, 36,300.79 and 9,209.55

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Solution

The fourth proportional to 24,205.99, 36,300.79 and 9,209.55 is: 13,811.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,205.99 : 36,300.79 = 9,209.55 : x
  2. Step 2: Convert to fraction form
    24,205.99/36,300.79 = 9,209.55/x
  3. Step 3: Cross multiply
    24,205.99x = 36,300.79 × 9,209.55
  4. Step 4: Simplify right side
    24,205.99x = 334,313,940.54
  5. Step 5: Solve for x
    x = 334,313,940.54/24,205.99
  6. Step 6: Final answer
    x = 13,811.21

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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.