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Finding the Fourth Proportional to 23,858.64, 35,785.22 and 6,329.84

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Solution

The fourth proportional to 23,858.64, 35,785.22 and 6,329.84 is: 9,494.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,858.64 : 35,785.22 = 6,329.84 : x
  2. Step 2: Convert to fraction form
    23,858.64/35,785.22 = 6,329.84/x
  3. Step 3: Cross multiply
    23,858.64x = 35,785.22 × 6,329.84
  4. Step 4: Simplify right side
    23,858.64x = 226,514,506.39
  5. Step 5: Solve for x
    x = 226,514,506.39/23,858.64
  6. Step 6: Final answer
    x = 9,494.02

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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.