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Finding the Fourth Proportional to 26,705, 40,059.68 and 8,237

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Solution

The fourth proportional to 26,705, 40,059.68 and 8,237 is: 12,356.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,705 : 40,059.68 = 8,237 : x
  2. Step 2: Convert to fraction form
    26,705/40,059.68 = 8,237/x
  3. Step 3: Cross multiply
    26,705x = 40,059.68 × 8,237
  4. Step 4: Simplify right side
    26,705x = 329,971,584.16
  5. Step 5: Solve for x
    x = 329,971,584.16/26,705
  6. Step 6: Final answer
    x = 12,356.17

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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.