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Finding the Fourth Proportional to 26,815, 40,224.66 and 8,347

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Solution

The fourth proportional to 26,815, 40,224.66 and 8,347 is: 12,521.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,815 : 40,224.66 = 8,347 : x
  2. Step 2: Convert to fraction form
    26,815/40,224.66 = 8,347/x
  3. Step 3: Cross multiply
    26,815x = 40,224.66 × 8,347
  4. Step 4: Simplify right side
    26,815x = 335,755,237.02
  5. Step 5: Solve for x
    x = 335,755,237.02/26,815
  6. Step 6: Final answer
    x = 12,521.17

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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.