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Finding the Fourth Proportional to 16,475.28, 22,735.94 and 8,921.64

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Solution

The fourth proportional to 16,475.28, 22,735.94 and 8,921.64 is: 12,311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,475.28 : 22,735.94 = 8,921.64 : x
  2. Step 2: Convert to fraction form
    16,475.28/22,735.94 = 8,921.64/x
  3. Step 3: Cross multiply
    16,475.28x = 22,735.94 × 8,921.64
  4. Step 4: Simplify right side
    16,475.28x = 202,841,871.74
  5. Step 5: Solve for x
    x = 202,841,871.74/16,475.28
  6. Step 6: Final answer
    x = 12,311.89

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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.