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Finding the Fourth Proportional to 16,500.66, 22,771.08 and 8,947.01

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Solution

The fourth proportional to 16,500.66, 22,771.08 and 8,947.01 is: 12,346.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,500.66 : 22,771.08 = 8,947.01 : x
  2. Step 2: Convert to fraction form
    16,500.66/22,771.08 = 8,947.01/x
  3. Step 3: Cross multiply
    16,500.66x = 22,771.08 × 8,947.01
  4. Step 4: Simplify right side
    16,500.66x = 203,732,966.62
  5. Step 5: Solve for x
    x = 203,732,966.62/16,500.66
  6. Step 6: Final answer
    x = 12,346.96

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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.