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Finding the Fourth Proportional to 16,230.68, 22,398.34 and 8,778.68

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Solution

The fourth proportional to 16,230.68, 22,398.34 and 8,778.68 is: 12,114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,230.68 : 22,398.34 = 8,778.68 : x
  2. Step 2: Convert to fraction form
    16,230.68/22,398.34 = 8,778.68/x
  3. Step 3: Cross multiply
    16,230.68x = 22,398.34 × 8,778.68
  4. Step 4: Simplify right side
    16,230.68x = 196,627,859.39
  5. Step 5: Solve for x
    x = 196,627,859.39/16,230.68
  6. Step 6: Final answer
    x = 12,114.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.