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Finding the Fourth Proportional to 19,950, 29,906.88 and 12,532

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Solution

The fourth proportional to 19,950, 29,906.88 and 12,532 is: 18,786.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,950 : 29,906.88 = 12,532 : x
  2. Step 2: Convert to fraction form
    19,950/29,906.88 = 12,532/x
  3. Step 3: Cross multiply
    19,950x = 29,906.88 × 12,532
  4. Step 4: Simplify right side
    19,950x = 374,793,020.16
  5. Step 5: Solve for x
    x = 374,793,020.16/19,950
  6. Step 6: Final answer
    x = 18,786.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.