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Finding the Fourth Proportional to 10,021.74, 15,033.42 and 3,447.92

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Solution

The fourth proportional to 10,021.74, 15,033.42 and 3,447.92 is: 5,172.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021.74 : 15,033.42 = 3,447.92 : x
  2. Step 2: Convert to fraction form
    10,021.74/15,033.42 = 3,447.92/x
  3. Step 3: Cross multiply
    10,021.74x = 15,033.42 × 3,447.92
  4. Step 4: Simplify right side
    10,021.74x = 51,834,029.49
  5. Step 5: Solve for x
    x = 51,834,029.49/10,021.74
  6. Step 6: Final answer
    x = 5,172.16

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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.