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Finding the Fourth Proportional to 27,691.54, 38,213.73 and 15,116.50

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Solution

The fourth proportional to 27,691.54, 38,213.73 and 15,116.50 is: 20,860.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,691.54 : 38,213.73 = 15,116.50 : x
  2. Step 2: Convert to fraction form
    27,691.54/38,213.73 = 15,116.50/x
  3. Step 3: Cross multiply
    27,691.54x = 38,213.73 × 15,116.50
  4. Step 4: Simplify right side
    27,691.54x = 577,657,849.55
  5. Step 5: Solve for x
    x = 577,657,849.55/27,691.54
  6. Step 6: Final answer
    x = 20,860.45

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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.