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Finding the Fourth Proportional to 16,471.76, 22,732.65 and 9,399.24

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Solution

The fourth proportional to 16,471.76, 22,732.65 and 9,399.24 is: 12,971.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,471.76 : 22,732.65 = 9,399.24 : x
  2. Step 2: Convert to fraction form
    16,471.76/22,732.65 = 9,399.24/x
  3. Step 3: Cross multiply
    16,471.76x = 22,732.65 × 9,399.24
  4. Step 4: Simplify right side
    16,471.76x = 213,669,633.19
  5. Step 5: Solve for x
    x = 213,669,633.19/16,471.76
  6. Step 6: Final answer
    x = 12,971.88

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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.