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Finding the Fourth Proportional to 22,996.50, 31,738.11 and 14,042.11

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Solution

The fourth proportional to 22,996.50, 31,738.11 and 14,042.11 is: 19,379.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,996.50 : 31,738.11 = 14,042.11 : x
  2. Step 2: Convert to fraction form
    22,996.50/31,738.11 = 14,042.11/x
  3. Step 3: Cross multiply
    22,996.50x = 31,738.11 × 14,042.11
  4. Step 4: Simplify right side
    22,996.50x = 445,670,031.81
  5. Step 5: Solve for x
    x = 445,670,031.81/22,996.50
  6. Step 6: Final answer
    x = 19,379.91

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Why These Related Problems?

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