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Finding the Fourth Proportional to 27,926, 38,537.94 and 15,350.84

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Solution

The fourth proportional to 27,926, 38,537.94 and 15,350.84 is: 21,184.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,926 : 38,537.94 = 15,350.84 : x
  2. Step 2: Convert to fraction form
    27,926/38,537.94 = 15,350.84/x
  3. Step 3: Cross multiply
    27,926x = 38,537.94 × 15,350.84
  4. Step 4: Simplify right side
    27,926x = 591,589,750.87
  5. Step 5: Solve for x
    x = 591,589,750.87/27,926
  6. Step 6: Final answer
    x = 21,184.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.