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Finding the Fourth Proportional to 13,285.71, 19,940.85 and 6,716.51

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Solution

The fourth proportional to 13,285.71, 19,940.85 and 6,716.51 is: 10,080.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,285.71 : 19,940.85 = 6,716.51 : x
  2. Step 2: Convert to fraction form
    13,285.71/19,940.85 = 6,716.51/x
  3. Step 3: Cross multiply
    13,285.71x = 19,940.85 × 6,716.51
  4. Step 4: Simplify right side
    13,285.71x = 133,932,818.73
  5. Step 5: Solve for x
    x = 133,932,818.73/13,285.71
  6. Step 6: Final answer
    x = 10,080.97

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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.