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Finding the Fourth Proportional to 12,216.20, 16,864.50 and 10,219.40

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Solution

The fourth proportional to 12,216.20, 16,864.50 and 10,219.40 is: 14,107.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,216.20 : 16,864.50 = 10,219.40 : x
  2. Step 2: Convert to fraction form
    12,216.20/16,864.50 = 10,219.40/x
  3. Step 3: Cross multiply
    12,216.20x = 16,864.50 × 10,219.40
  4. Step 4: Simplify right side
    12,216.20x = 172,345,071.30
  5. Step 5: Solve for x
    x = 172,345,071.30/12,216.20
  6. Step 6: Final answer
    x = 14,107.91

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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.