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Finding the Fourth Proportional to 16,022.52, 24,033.51 and 5,634

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Solution

The fourth proportional to 16,022.52, 24,033.51 and 5,634 is: 8,450.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,022.52 : 24,033.51 = 5,634 : x
  2. Step 2: Convert to fraction form
    16,022.52/24,033.51 = 5,634/x
  3. Step 3: Cross multiply
    16,022.52x = 24,033.51 × 5,634
  4. Step 4: Simplify right side
    16,022.52x = 135,404,795.34
  5. Step 5: Solve for x
    x = 135,404,795.34/16,022.52
  6. Step 6: Final answer
    x = 8,450.91

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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.