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Finding the Fourth Proportional to 16,546.69, 24,823.11 and 5,454.16

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Solution

The fourth proportional to 16,546.69, 24,823.11 and 5,454.16 is: 8,182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546.69 : 24,823.11 = 5,454.16 : x
  2. Step 2: Convert to fraction form
    16,546.69/24,823.11 = 5,454.16/x
  3. Step 3: Cross multiply
    16,546.69x = 24,823.11 × 5,454.16
  4. Step 4: Simplify right side
    16,546.69x = 135,389,089.52
  5. Step 5: Solve for x
    x = 135,389,089.52/16,546.69
  6. Step 6: Final answer
    x = 8,182.25

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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.