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Finding the Fourth Proportional to 13,278.32, 19,918.20 and 6,696.80

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Solution

The fourth proportional to 13,278.32, 19,918.20 and 6,696.80 is: 10,045.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,278.32 : 19,918.20 = 6,696.80 : x
  2. Step 2: Convert to fraction form
    13,278.32/19,918.20 = 6,696.80/x
  3. Step 3: Cross multiply
    13,278.32x = 19,918.20 × 6,696.80
  4. Step 4: Simplify right side
    13,278.32x = 133,388,201.76
  5. Step 5: Solve for x
    x = 133,388,201.76/13,278.32
  6. Step 6: Final answer
    x = 10,045.56

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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.