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Finding the Fourth Proportional to 15,701.92, 21,674.32 and 10,398.44

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Solution

The fourth proportional to 15,701.92, 21,674.32 and 10,398.44 is: 14,353.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,701.92 : 21,674.32 = 10,398.44 : x
  2. Step 2: Convert to fraction form
    15,701.92/21,674.32 = 10,398.44/x
  3. Step 3: Cross multiply
    15,701.92x = 21,674.32 × 10,398.44
  4. Step 4: Simplify right side
    15,701.92x = 225,379,144.25
  5. Step 5: Solve for x
    x = 225,379,144.25/15,701.92
  6. Step 6: Final answer
    x = 14,353.61

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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.