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Finding the Fourth Proportional to 23,523.12, 35,284.32 and 7,951.68

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Solution

The fourth proportional to 23,523.12, 35,284.32 and 7,951.68 is: 11,927.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,523.12 : 35,284.32 = 7,951.68 : x
  2. Step 2: Convert to fraction form
    23,523.12/35,284.32 = 7,951.68/x
  3. Step 3: Cross multiply
    23,523.12x = 35,284.32 × 7,951.68
  4. Step 4: Simplify right side
    23,523.12x = 280,569,621.66
  5. Step 5: Solve for x
    x = 280,569,621.66/23,523.12
  6. Step 6: Final answer
    x = 11,927.40

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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.