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Finding the Fourth Proportional to 22,122.50, 30,529.05 and 12,186.50

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Solution

The fourth proportional to 22,122.50, 30,529.05 and 12,186.50 is: 16,817.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,122.50 : 30,529.05 = 12,186.50 : x
  2. Step 2: Convert to fraction form
    22,122.50/30,529.05 = 12,186.50/x
  3. Step 3: Cross multiply
    22,122.50x = 30,529.05 × 12,186.50
  4. Step 4: Simplify right side
    22,122.50x = 372,042,267.83
  5. Step 5: Solve for x
    x = 372,042,267.83/22,122.50
  6. Step 6: Final answer
    x = 16,817.37

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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.