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Finding the Fourth Proportional to 16,475.16, 22,735.74 and 8,921.49

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Solution

The fourth proportional to 16,475.16, 22,735.74 and 8,921.49 is: 12,311.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,475.16 : 22,735.74 = 8,921.49 : x
  2. Step 2: Convert to fraction form
    16,475.16/22,735.74 = 8,921.49/x
  3. Step 3: Cross multiply
    16,475.16x = 22,735.74 × 8,921.49
  4. Step 4: Simplify right side
    16,475.16x = 202,836,677.05
  5. Step 5: Solve for x
    x = 202,836,677.05/16,475.16
  6. Step 6: Final answer
    x = 12,311.67

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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.