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Finding the Fourth Proportional to 16,594.20, 24,858 and 8,249.04

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Solution

The fourth proportional to 16,594.20, 24,858 and 8,249.04 is: 12,357.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,594.20 : 24,858 = 8,249.04 : x
  2. Step 2: Convert to fraction form
    16,594.20/24,858 = 8,249.04/x
  3. Step 3: Cross multiply
    16,594.20x = 24,858 × 8,249.04
  4. Step 4: Simplify right side
    16,594.20x = 205,054,636.32
  5. Step 5: Solve for x
    x = 205,054,636.32/16,594.20
  6. Step 6: Final answer
    x = 12,357.01

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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.