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Finding the Fourth Proportional to 10,824.36, 16,230.36 and 3,430.68

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Solution

The fourth proportional to 10,824.36, 16,230.36 and 3,430.68 is: 5,144.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,824.36 : 16,230.36 = 3,430.68 : x
  2. Step 2: Convert to fraction form
    10,824.36/16,230.36 = 3,430.68/x
  3. Step 3: Cross multiply
    10,824.36x = 16,230.36 × 3,430.68
  4. Step 4: Simplify right side
    10,824.36x = 55,681,171.44
  5. Step 5: Solve for x
    x = 55,681,171.44/10,824.36
  6. Step 6: Final answer
    x = 5,144.06

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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.