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Finding the Fourth Proportional to 23,379.64, 35,064.30 and 6,736

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Solution

The fourth proportional to 23,379.64, 35,064.30 and 6,736 is: 10,102.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,379.64 : 35,064.30 = 6,736 : x
  2. Step 2: Convert to fraction form
    23,379.64/35,064.30 = 6,736/x
  3. Step 3: Cross multiply
    23,379.64x = 35,064.30 × 6,736
  4. Step 4: Simplify right side
    23,379.64x = 236,193,124.80
  5. Step 5: Solve for x
    x = 236,193,124.80/23,379.64
  6. Step 6: Final answer
    x = 10,102.51

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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.