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Finding the Fourth Proportional to 26,706, 40,059.54 and 8,238

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Solution

The fourth proportional to 26,706, 40,059.54 and 8,238 is: 12,357.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,706 : 40,059.54 = 8,238 : x
  2. Step 2: Convert to fraction form
    26,706/40,059.54 = 8,238/x
  3. Step 3: Cross multiply
    26,706x = 40,059.54 × 8,238
  4. Step 4: Simplify right side
    26,706x = 330,010,490.52
  5. Step 5: Solve for x
    x = 330,010,490.52/26,706
  6. Step 6: Final answer
    x = 12,357.17

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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.