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Finding the Fourth Proportional to 21,149.39, 31,728.08 and 8,500.12

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Solution

The fourth proportional to 21,149.39, 31,728.08 and 8,500.12 is: 12,751.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,149.39 : 31,728.08 = 8,500.12 : x
  2. Step 2: Convert to fraction form
    21,149.39/31,728.08 = 8,500.12/x
  3. Step 3: Cross multiply
    21,149.39x = 31,728.08 × 8,500.12
  4. Step 4: Simplify right side
    21,149.39x = 269,692,607.77
  5. Step 5: Solve for x
    x = 269,692,607.77/21,149.39
  6. Step 6: Final answer
    x = 12,751.79

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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.