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Finding the Fourth Proportional to 16,505.87, 22,777.49 and 8,952.08

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Solution

The fourth proportional to 16,505.87, 22,777.49 and 8,952.08 is: 12,353.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,505.87 : 22,777.49 = 8,952.08 : x
  2. Step 2: Convert to fraction form
    16,505.87/22,777.49 = 8,952.08/x
  3. Step 3: Cross multiply
    16,505.87x = 22,777.49 × 8,952.08
  4. Step 4: Simplify right side
    16,505.87x = 203,905,754.03
  5. Step 5: Solve for x
    x = 203,905,754.03/16,505.87
  6. Step 6: Final answer
    x = 12,353.53

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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.