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Finding the Fourth Proportional to 13,663.78, 20,496.06 and 5,343.46

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Solution

The fourth proportional to 13,663.78, 20,496.06 and 5,343.46 is: 8,015.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663.78 : 20,496.06 = 5,343.46 : x
  2. Step 2: Convert to fraction form
    13,663.78/20,496.06 = 5,343.46/x
  3. Step 3: Cross multiply
    13,663.78x = 20,496.06 × 5,343.46
  4. Step 4: Simplify right side
    13,663.78x = 109,519,876.77
  5. Step 5: Solve for x
    x = 109,519,876.77/13,663.78
  6. Step 6: Final answer
    x = 8,015.34

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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.