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Finding the Fourth Proportional to 16,550.48, 24,827.34 and 5,452.64

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Solution

The fourth proportional to 16,550.48, 24,827.34 and 5,452.64 is: 8,179.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,550.48 : 24,827.34 = 5,452.64 : x
  2. Step 2: Convert to fraction form
    16,550.48/24,827.34 = 5,452.64/x
  3. Step 3: Cross multiply
    16,550.48x = 24,827.34 × 5,452.64
  4. Step 4: Simplify right side
    16,550.48x = 135,374,547.18
  5. Step 5: Solve for x
    x = 135,374,547.18/16,550.48
  6. Step 6: Final answer
    x = 8,179.49

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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.