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Finding the Fourth Proportional to 16,507.92, 22,781.14 and 8,954.30

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Solution

The fourth proportional to 16,507.92, 22,781.14 and 8,954.30 is: 12,357.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507.92 : 22,781.14 = 8,954.30 : x
  2. Step 2: Convert to fraction form
    16,507.92/22,781.14 = 8,954.30/x
  3. Step 3: Cross multiply
    16,507.92x = 22,781.14 × 8,954.30
  4. Step 4: Simplify right side
    16,507.92x = 203,989,161.90
  5. Step 5: Solve for x
    x = 203,989,161.90/16,507.92
  6. Step 6: Final answer
    x = 12,357.05

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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.