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Finding the Fourth Proportional to 22,523.64, 33,759.52 and 12,113.52

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Solution

The fourth proportional to 22,523.64, 33,759.52 and 12,113.52 is: 18,156.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523.64 : 33,759.52 = 12,113.52 : x
  2. Step 2: Convert to fraction form
    22,523.64/33,759.52 = 12,113.52/x
  3. Step 3: Cross multiply
    22,523.64x = 33,759.52 × 12,113.52
  4. Step 4: Simplify right side
    22,523.64x = 408,946,620.71
  5. Step 5: Solve for x
    x = 408,946,620.71/22,523.64
  6. Step 6: Final answer
    x = 18,156.33

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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.