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Finding the Fourth Proportional to 22,110.50, 30,512.49 and 12,174.50

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Solution

The fourth proportional to 22,110.50, 30,512.49 and 12,174.50 is: 16,800.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,110.50 : 30,512.49 = 12,174.50 : x
  2. Step 2: Convert to fraction form
    22,110.50/30,512.49 = 12,174.50/x
  3. Step 3: Cross multiply
    22,110.50x = 30,512.49 × 12,174.50
  4. Step 4: Simplify right side
    22,110.50x = 371,474,309.51
  5. Step 5: Solve for x
    x = 371,474,309.51/22,110.50
  6. Step 6: Final answer
    x = 16,800.81

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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.