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Finding the Fourth Proportional to 22,509.40, 33,769.12 and 8,469.56

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Solution

The fourth proportional to 22,509.40, 33,769.12 and 8,469.56 is: 12,706.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.40 : 33,769.12 = 8,469.56 : x
  2. Step 2: Convert to fraction form
    22,509.40/33,769.12 = 8,469.56/x
  3. Step 3: Cross multiply
    22,509.40x = 33,769.12 × 8,469.56
  4. Step 4: Simplify right side
    22,509.40x = 286,009,587.99
  5. Step 5: Solve for x
    x = 286,009,587.99/22,509.40
  6. Step 6: Final answer
    x = 12,706.23

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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.