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Finding the Fourth Proportional to 16,503.16, 22,774.36 and 8,949.48

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Solution

The fourth proportional to 16,503.16, 22,774.36 and 8,949.48 is: 12,350.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,503.16 : 22,774.36 = 8,949.48 : x
  2. Step 2: Convert to fraction form
    16,503.16/22,774.36 = 8,949.48/x
  3. Step 3: Cross multiply
    16,503.16x = 22,774.36 × 8,949.48
  4. Step 4: Simplify right side
    16,503.16x = 203,818,771.09
  5. Step 5: Solve for x
    x = 203,818,771.09/16,503.16
  6. Step 6: Final answer
    x = 12,350.29

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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.