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Finding the Fourth Proportional to 13,794.17, 20,690.83 and 8,210.15

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Solution

The fourth proportional to 13,794.17, 20,690.83 and 8,210.15 is: 12,314.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.17 : 20,690.83 = 8,210.15 : x
  2. Step 2: Convert to fraction form
    13,794.17/20,690.83 = 8,210.15/x
  3. Step 3: Cross multiply
    13,794.17x = 20,690.83 × 8,210.15
  4. Step 4: Simplify right side
    13,794.17x = 169,874,693.94
  5. Step 5: Solve for x
    x = 169,874,693.94/13,794.17
  6. Step 6: Final answer
    x = 12,314.97

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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.