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Finding the Fourth Proportional to 21,324, 31,997.52 and 10,380

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Solution

The fourth proportional to 21,324, 31,997.52 and 10,380 is: 15,575.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,324 : 31,997.52 = 10,380 : x
  2. Step 2: Convert to fraction form
    21,324/31,997.52 = 10,380/x
  3. Step 3: Cross multiply
    21,324x = 31,997.52 × 10,380
  4. Step 4: Simplify right side
    21,324x = 332,134,257.60
  5. Step 5: Solve for x
    x = 332,134,257.60/21,324
  6. Step 6: Final answer
    x = 15,575.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.