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Finding the Fourth Proportional to 16,276.67, 22,462.41 and 9,202.67

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Solution

The fourth proportional to 16,276.67, 22,462.41 and 9,202.67 is: 12,700.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,276.67 : 22,462.41 = 9,202.67 : x
  2. Step 2: Convert to fraction form
    16,276.67/22,462.41 = 9,202.67/x
  3. Step 3: Cross multiply
    16,276.67x = 22,462.41 × 9,202.67
  4. Step 4: Simplify right side
    16,276.67x = 206,714,034.32
  5. Step 5: Solve for x
    x = 206,714,034.32/16,276.67
  6. Step 6: Final answer
    x = 12,700.02

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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.