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Finding the Fourth Proportional to 17,731.32, 24,469.74 and 9,773.64

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Solution

The fourth proportional to 17,731.32, 24,469.74 and 9,773.64 is: 13,487.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,731.32 : 24,469.74 = 9,773.64 : x
  2. Step 2: Convert to fraction form
    17,731.32/24,469.74 = 9,773.64/x
  3. Step 3: Cross multiply
    17,731.32x = 24,469.74 × 9,773.64
  4. Step 4: Simplify right side
    17,731.32x = 239,158,429.65
  5. Step 5: Solve for x
    x = 239,158,429.65/17,731.32
  6. Step 6: Final answer
    x = 13,487.91

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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.