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Finding the Fourth Proportional to 23,512.95, 32,447.85 and 13,441.59

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Solution

The fourth proportional to 23,512.95, 32,447.85 and 13,441.59 is: 18,549.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,512.95 : 32,447.85 = 13,441.59 : x
  2. Step 2: Convert to fraction form
    23,512.95/32,447.85 = 13,441.59/x
  3. Step 3: Cross multiply
    23,512.95x = 32,447.85 × 13,441.59
  4. Step 4: Simplify right side
    23,512.95x = 436,150,696.08
  5. Step 5: Solve for x
    x = 436,150,696.08/23,512.95
  6. Step 6: Final answer
    x = 18,549.38

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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.