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Finding the Fourth Proportional to 22,271.80, 30,733.99 and 12,200.30

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Solution

The fourth proportional to 22,271.80, 30,733.99 and 12,200.30 is: 16,835.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,271.80 : 30,733.99 = 12,200.30 : x
  2. Step 2: Convert to fraction form
    22,271.80/30,733.99 = 12,200.30/x
  3. Step 3: Cross multiply
    22,271.80x = 30,733.99 × 12,200.30
  4. Step 4: Simplify right side
    22,271.80x = 374,963,898.20
  5. Step 5: Solve for x
    x = 374,963,898.20/22,271.80
  6. Step 6: Final answer
    x = 16,835.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.