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Finding the Fourth Proportional to 16,221.44, 24,322.44 and 5,829.68

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Solution

The fourth proportional to 16,221.44, 24,322.44 and 5,829.68 is: 8,741.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,221.44 : 24,322.44 = 5,829.68 : x
  2. Step 2: Convert to fraction form
    16,221.44/24,322.44 = 5,829.68/x
  3. Step 3: Cross multiply
    16,221.44x = 24,322.44 × 5,829.68
  4. Step 4: Simplify right side
    16,221.44x = 141,792,042.02
  5. Step 5: Solve for x
    x = 141,792,042.02/16,221.44
  6. Step 6: Final answer
    x = 8,741.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.