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Finding the Fourth Proportional to 26,627, 39,917.94 and 17,835

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Solution

The fourth proportional to 26,627, 39,917.94 and 17,835 is: 26,737.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,627 : 39,917.94 = 17,835 : x
  2. Step 2: Convert to fraction form
    26,627/39,917.94 = 17,835/x
  3. Step 3: Cross multiply
    26,627x = 39,917.94 × 17,835
  4. Step 4: Simplify right side
    26,627x = 711,936,459.90
  5. Step 5: Solve for x
    x = 711,936,459.90/26,627
  6. Step 6: Final answer
    x = 26,737.39

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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.