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Finding the Fourth Proportional to 23,789.64, 35,684.46 and 6,258

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Solution

The fourth proportional to 23,789.64, 35,684.46 and 6,258 is: 9,387

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,789.64 : 35,684.46 = 6,258 : x
  2. Step 2: Convert to fraction form
    23,789.64/35,684.46 = 6,258/x
  3. Step 3: Cross multiply
    23,789.64x = 35,684.46 × 6,258
  4. Step 4: Simplify right side
    23,789.64x = 223,313,350.68
  5. Step 5: Solve for x
    x = 223,313,350.68/23,789.64
  6. Step 6: Final answer
    x = 9,387

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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.