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Finding the Fourth Proportional to 13,696.78, 18,901.74 and 7,728.43

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Solution

The fourth proportional to 13,696.78, 18,901.74 and 7,728.43 is: 10,665.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.78 : 18,901.74 = 7,728.43 : x
  2. Step 2: Convert to fraction form
    13,696.78/18,901.74 = 7,728.43/x
  3. Step 3: Cross multiply
    13,696.78x = 18,901.74 × 7,728.43
  4. Step 4: Simplify right side
    13,696.78x = 146,080,774.47
  5. Step 5: Solve for x
    x = 146,080,774.47/13,696.78
  6. Step 6: Final answer
    x = 10,665.34

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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.