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Finding the Fourth Proportional to 15,878.52, 21,912.32 and 8,806

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Solution

The fourth proportional to 15,878.52, 21,912.32 and 8,806 is: 12,152.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,878.52 : 21,912.32 = 8,806 : x
  2. Step 2: Convert to fraction form
    15,878.52/21,912.32 = 8,806/x
  3. Step 3: Cross multiply
    15,878.52x = 21,912.32 × 8,806
  4. Step 4: Simplify right side
    15,878.52x = 192,959,889.92
  5. Step 5: Solve for x
    x = 192,959,889.92/15,878.52
  6. Step 6: Final answer
    x = 12,152.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.