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Finding the Fourth Proportional to 20,277, 27,981.95 and 11,324.63

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Solution

The fourth proportional to 20,277, 27,981.95 and 11,324.63 is: 15,627.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,277 : 27,981.95 = 11,324.63 : x
  2. Step 2: Convert to fraction form
    20,277/27,981.95 = 11,324.63/x
  3. Step 3: Cross multiply
    20,277x = 27,981.95 × 11,324.63
  4. Step 4: Simplify right side
    20,277x = 316,885,243.76
  5. Step 5: Solve for x
    x = 316,885,243.76/20,277
  6. Step 6: Final answer
    x = 15,627.82

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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.