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Finding the Fourth Proportional to 17,785.60, 24,546.03 and 10,232.26

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Solution

The fourth proportional to 17,785.60, 24,546.03 and 10,232.26 is: 14,121.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,785.60 : 24,546.03 = 10,232.26 : x
  2. Step 2: Convert to fraction form
    17,785.60/24,546.03 = 10,232.26/x
  3. Step 3: Cross multiply
    17,785.60x = 24,546.03 × 10,232.26
  4. Step 4: Simplify right side
    17,785.60x = 251,161,360.93
  5. Step 5: Solve for x
    x = 251,161,360.93/17,785.60
  6. Step 6: Final answer
    x = 14,121.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.