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Finding the Fourth Proportional to 21,204.72, 31,805.72 and 8,056.75

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Solution

The fourth proportional to 21,204.72, 31,805.72 and 8,056.75 is: 12,084.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,204.72 : 31,805.72 = 8,056.75 : x
  2. Step 2: Convert to fraction form
    21,204.72/31,805.72 = 8,056.75/x
  3. Step 3: Cross multiply
    21,204.72x = 31,805.72 × 8,056.75
  4. Step 4: Simplify right side
    21,204.72x = 256,250,734.61
  5. Step 5: Solve for x
    x = 256,250,734.61/21,204.72
  6. Step 6: Final answer
    x = 12,084.61

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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.