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Finding the Fourth Proportional to 12,230.42, 16,885.14 and 8,870

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Solution

The fourth proportional to 12,230.42, 16,885.14 and 8,870 is: 12,245.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.42 : 16,885.14 = 8,870 : x
  2. Step 2: Convert to fraction form
    12,230.42/16,885.14 = 8,870/x
  3. Step 3: Cross multiply
    12,230.42x = 16,885.14 × 8,870
  4. Step 4: Simplify right side
    12,230.42x = 149,771,191.80
  5. Step 5: Solve for x
    x = 149,771,191.80/12,230.42
  6. Step 6: Final answer
    x = 12,245.79

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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.