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Finding the Fourth Proportional to 21,629.50, 32,447.76 and 8,474.74

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Solution

The fourth proportional to 21,629.50, 32,447.76 and 8,474.74 is: 12,713.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,629.50 : 32,447.76 = 8,474.74 : x
  2. Step 2: Convert to fraction form
    21,629.50/32,447.76 = 8,474.74/x
  3. Step 3: Cross multiply
    21,629.50x = 32,447.76 × 8,474.74
  4. Step 4: Simplify right side
    21,629.50x = 274,986,329.58
  5. Step 5: Solve for x
    x = 274,986,329.58/21,629.50
  6. Step 6: Final answer
    x = 12,713.49

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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.