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Finding the Fourth Proportional to 13,283.72, 19,940.70 and 6,717.32

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Solution

The fourth proportional to 13,283.72, 19,940.70 and 6,717.32 is: 10,083.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,283.72 : 19,940.70 = 6,717.32 : x
  2. Step 2: Convert to fraction form
    13,283.72/19,940.70 = 6,717.32/x
  3. Step 3: Cross multiply
    13,283.72x = 19,940.70 × 6,717.32
  4. Step 4: Simplify right side
    13,283.72x = 133,948,062.92
  5. Step 5: Solve for x
    x = 133,948,062.92/13,283.72
  6. Step 6: Final answer
    x = 10,083.63

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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.