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Finding the Fourth Proportional to 27,684.52, 38,205.47 and 15,748.97

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Solution

The fourth proportional to 27,684.52, 38,205.47 and 15,748.97 is: 21,734.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,684.52 : 38,205.47 = 15,748.97 : x
  2. Step 2: Convert to fraction form
    27,684.52/38,205.47 = 15,748.97/x
  3. Step 3: Cross multiply
    27,684.52x = 38,205.47 × 15,748.97
  4. Step 4: Simplify right side
    27,684.52x = 601,696,649.21
  5. Step 5: Solve for x
    x = 601,696,649.21/27,684.52
  6. Step 6: Final answer
    x = 21,734.05

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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.