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Finding the Fourth Proportional to 26,967.86, 40,449.06 and 7,243.86

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Solution

The fourth proportional to 26,967.86, 40,449.06 and 7,243.86 is: 10,865.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,967.86 : 40,449.06 = 7,243.86 : x
  2. Step 2: Convert to fraction form
    26,967.86/40,449.06 = 7,243.86/x
  3. Step 3: Cross multiply
    26,967.86x = 40,449.06 × 7,243.86
  4. Step 4: Simplify right side
    26,967.86x = 293,007,327.77
  5. Step 5: Solve for x
    x = 293,007,327.77/26,967.86
  6. Step 6: Final answer
    x = 10,865.06

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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.