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Finding the Fourth Proportional to 12,834.20, 17,711.46 and 8,054.32

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Solution

The fourth proportional to 12,834.20, 17,711.46 and 8,054.32 is: 11,115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834.20 : 17,711.46 = 8,054.32 : x
  2. Step 2: Convert to fraction form
    12,834.20/17,711.46 = 8,054.32/x
  3. Step 3: Cross multiply
    12,834.20x = 17,711.46 × 8,054.32
  4. Step 4: Simplify right side
    12,834.20x = 142,653,766.51
  5. Step 5: Solve for x
    x = 142,653,766.51/12,834.20
  6. Step 6: Final answer
    x = 11,115.13

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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.