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Finding the Fourth Proportional to 16,503.17, 22,774.49 and 8,949.54

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Solution

The fourth proportional to 16,503.17, 22,774.49 and 8,949.54 is: 12,350.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,503.17 : 22,774.49 = 8,949.54 : x
  2. Step 2: Convert to fraction form
    16,503.17/22,774.49 = 8,949.54/x
  3. Step 3: Cross multiply
    16,503.17x = 22,774.49 × 8,949.54
  4. Step 4: Simplify right side
    16,503.17x = 203,821,209.23
  5. Step 5: Solve for x
    x = 203,821,209.23/16,503.17
  6. Step 6: Final answer
    x = 12,350.43

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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.