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Finding the Fourth Proportional to 22,524, 31,083.12 and 13,571.64

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Solution

The fourth proportional to 22,524, 31,083.12 and 13,571.64 is: 18,728.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,524 : 31,083.12 = 13,571.64 : x
  2. Step 2: Convert to fraction form
    22,524/31,083.12 = 13,571.64/x
  3. Step 3: Cross multiply
    22,524x = 31,083.12 × 13,571.64
  4. Step 4: Simplify right side
    22,524x = 421,848,914.72
  5. Step 5: Solve for x
    x = 421,848,914.72/22,524
  6. Step 6: Final answer
    x = 18,728.86

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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.