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Finding the Fourth Proportional to 17,785.91, 24,546.92 and 10,232.06

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Solution

The fourth proportional to 17,785.91, 24,546.92 and 10,232.06 is: 14,121.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,785.91 : 24,546.92 = 10,232.06 : x
  2. Step 2: Convert to fraction form
    17,785.91/24,546.92 = 10,232.06/x
  3. Step 3: Cross multiply
    17,785.91x = 24,546.92 × 10,232.06
  4. Step 4: Simplify right side
    17,785.91x = 251,165,384.36
  5. Step 5: Solve for x
    x = 251,165,384.36/17,785.91
  6. Step 6: Final answer
    x = 14,121.59

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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.