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Finding the Fourth Proportional to 27,771.74, 38,300.77 and 19,689.43

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Solution

The fourth proportional to 27,771.74, 38,300.77 and 19,689.43 is: 27,154.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,771.74 : 38,300.77 = 19,689.43 : x
  2. Step 2: Convert to fraction form
    27,771.74/38,300.77 = 19,689.43/x
  3. Step 3: Cross multiply
    27,771.74x = 38,300.77 × 19,689.43
  4. Step 4: Simplify right side
    27,771.74x = 754,120,329.86
  5. Step 5: Solve for x
    x = 754,120,329.86/27,771.74
  6. Step 6: Final answer
    x = 27,154.23

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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.