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Finding the Fourth Proportional to 20,713.92, 31,044.94 and 16,314

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Solution

The fourth proportional to 20,713.92, 31,044.94 and 16,314 is: 24,450.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,713.92 : 31,044.94 = 16,314 : x
  2. Step 2: Convert to fraction form
    20,713.92/31,044.94 = 16,314/x
  3. Step 3: Cross multiply
    20,713.92x = 31,044.94 × 16,314
  4. Step 4: Simplify right side
    20,713.92x = 506,467,151.16
  5. Step 5: Solve for x
    x = 506,467,151.16/20,713.92
  6. Step 6: Final answer
    x = 24,450.57

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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.