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Finding the Fourth Proportional to 12,199.20, 16,837.20 and 8,857.50

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Solution

The fourth proportional to 12,199.20, 16,837.20 and 8,857.50 is: 12,225.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.20 : 16,837.20 = 8,857.50 : x
  2. Step 2: Convert to fraction form
    12,199.20/16,837.20 = 8,857.50/x
  3. Step 3: Cross multiply
    12,199.20x = 16,837.20 × 8,857.50
  4. Step 4: Simplify right side
    12,199.20x = 149,135,499
  5. Step 5: Solve for x
    x = 149,135,499/12,199.20
  6. Step 6: Final answer
    x = 12,225.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.