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Finding the Fourth Proportional to 27,977.68, 38,608.50 and 15,880.42

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Solution

The fourth proportional to 27,977.68, 38,608.50 and 15,880.42 is: 21,914.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,977.68 : 38,608.50 = 15,880.42 : x
  2. Step 2: Convert to fraction form
    27,977.68/38,608.50 = 15,880.42/x
  3. Step 3: Cross multiply
    27,977.68x = 38,608.50 × 15,880.42
  4. Step 4: Simplify right side
    27,977.68x = 613,119,195.57
  5. Step 5: Solve for x
    x = 613,119,195.57/27,977.68
  6. Step 6: Final answer
    x = 21,914.58

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