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Finding the Fourth Proportional to 23,273.46, 32,111.91 and 13,199.63

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Solution

The fourth proportional to 23,273.46, 32,111.91 and 13,199.63 is: 18,212.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,273.46 : 32,111.91 = 13,199.63 : x
  2. Step 2: Convert to fraction form
    23,273.46/32,111.91 = 13,199.63/x
  3. Step 3: Cross multiply
    23,273.46x = 32,111.91 × 13,199.63
  4. Step 4: Simplify right side
    23,273.46x = 423,865,170.03
  5. Step 5: Solve for x
    x = 423,865,170.03/23,273.46
  6. Step 6: Final answer
    x = 18,212.38

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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.