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Finding the Fourth Proportional to 26,686.49, 40,035.44 and 7,967.99

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Solution

The fourth proportional to 26,686.49, 40,035.44 and 7,967.99 is: 11,953.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,686.49 : 40,035.44 = 7,967.99 : x
  2. Step 2: Convert to fraction form
    26,686.49/40,035.44 = 7,967.99/x
  3. Step 3: Cross multiply
    26,686.49x = 40,035.44 × 7,967.99
  4. Step 4: Simplify right side
    26,686.49x = 319,002,105.57
  5. Step 5: Solve for x
    x = 319,002,105.57/26,686.49
  6. Step 6: Final answer
    x = 11,953.70

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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.