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Finding the Fourth Proportional to 17,922.08, 24,731.31 and 9,964.10

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Solution

The fourth proportional to 17,922.08, 24,731.31 and 9,964.10 is: 13,749.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,922.08 : 24,731.31 = 9,964.10 : x
  2. Step 2: Convert to fraction form
    17,922.08/24,731.31 = 9,964.10/x
  3. Step 3: Cross multiply
    17,922.08x = 24,731.31 × 9,964.10
  4. Step 4: Simplify right side
    17,922.08x = 246,425,245.97
  5. Step 5: Solve for x
    x = 246,425,245.97/17,922.08
  6. Step 6: Final answer
    x = 13,749.81

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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.