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Finding the Fourth Proportional to 20,182.34, 27,851.76 and 11,230.22

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Solution

The fourth proportional to 20,182.34, 27,851.76 and 11,230.22 is: 15,497.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,182.34 : 27,851.76 = 11,230.22 : x
  2. Step 2: Convert to fraction form
    20,182.34/27,851.76 = 11,230.22/x
  3. Step 3: Cross multiply
    20,182.34x = 27,851.76 × 11,230.22
  4. Step 4: Simplify right side
    20,182.34x = 312,781,252.93
  5. Step 5: Solve for x
    x = 312,781,252.93/20,182.34
  6. Step 6: Final answer
    x = 15,497.77

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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.