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Finding the Fourth Proportional to 13,937.36, 19,234.55 and 7,968.87

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Solution

The fourth proportional to 13,937.36, 19,234.55 and 7,968.87 is: 10,997.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,937.36 : 19,234.55 = 7,968.87 : x
  2. Step 2: Convert to fraction form
    13,937.36/19,234.55 = 7,968.87/x
  3. Step 3: Cross multiply
    13,937.36x = 19,234.55 × 7,968.87
  4. Step 4: Simplify right side
    13,937.36x = 153,277,648.38
  5. Step 5: Solve for x
    x = 153,277,648.38/13,937.36
  6. Step 6: Final answer
    x = 10,997.61

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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.