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Finding the Fourth Proportional to 10,021.44, 15,034.56 and 3,447.68

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Solution

The fourth proportional to 10,021.44, 15,034.56 and 3,447.68 is: 5,172.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021.44 : 15,034.56 = 3,447.68 : x
  2. Step 2: Convert to fraction form
    10,021.44/15,034.56 = 3,447.68/x
  3. Step 3: Cross multiply
    10,021.44x = 15,034.56 × 3,447.68
  4. Step 4: Simplify right side
    10,021.44x = 51,834,351.82
  5. Step 5: Solve for x
    x = 51,834,351.82/10,021.44
  6. Step 6: Final answer
    x = 5,172.35

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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.