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Finding the Fourth Proportional to 26,407, 39,627.78 and 9,991

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Solution

The fourth proportional to 26,407, 39,627.78 and 9,991 is: 14,993.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,407 : 39,627.78 = 9,991 : x
  2. Step 2: Convert to fraction form
    26,407/39,627.78 = 9,991/x
  3. Step 3: Cross multiply
    26,407x = 39,627.78 × 9,991
  4. Step 4: Simplify right side
    26,407x = 395,921,149.98
  5. Step 5: Solve for x
    x = 395,921,149.98/26,407
  6. Step 6: Final answer
    x = 14,993.04

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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.