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Finding the Fourth Proportional to 23,785.13, 35,676.32 and 7,144.79

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Solution

The fourth proportional to 23,785.13, 35,676.32 and 7,144.79 is: 10,716.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,785.13 : 35,676.32 = 7,144.79 : x
  2. Step 2: Convert to fraction form
    23,785.13/35,676.32 = 7,144.79/x
  3. Step 3: Cross multiply
    23,785.13x = 35,676.32 × 7,144.79
  4. Step 4: Simplify right side
    23,785.13x = 254,899,814.37
  5. Step 5: Solve for x
    x = 254,899,814.37/23,785.13
  6. Step 6: Final answer
    x = 10,716.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.