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Finding the Fourth Proportional to 12,236.14, 16,869.80 and 8,830.29

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Solution

The fourth proportional to 12,236.14, 16,869.80 and 8,830.29 is: 12,174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,236.14 : 16,869.80 = 8,830.29 : x
  2. Step 2: Convert to fraction form
    12,236.14/16,869.80 = 8,830.29/x
  3. Step 3: Cross multiply
    12,236.14x = 16,869.80 × 8,830.29
  4. Step 4: Simplify right side
    12,236.14x = 148,965,226.24
  5. Step 5: Solve for x
    x = 148,965,226.24/12,236.14
  6. Step 6: Final answer
    x = 12,174.20

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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.