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Finding the Fourth Proportional to 12,226.28, 18,304.65 and 8,053.70

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Solution

The fourth proportional to 12,226.28, 18,304.65 and 8,053.70 is: 12,057.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226.28 : 18,304.65 = 8,053.70 : x
  2. Step 2: Convert to fraction form
    12,226.28/18,304.65 = 8,053.70/x
  3. Step 3: Cross multiply
    12,226.28x = 18,304.65 × 8,053.70
  4. Step 4: Simplify right side
    12,226.28x = 147,420,068.18
  5. Step 5: Solve for x
    x = 147,420,068.18/12,226.28
  6. Step 6: Final answer
    x = 12,057.64

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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.