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Finding the Fourth Proportional to 20,120.76, 27,766.13 and 11,168

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Solution

The fourth proportional to 20,120.76, 27,766.13 and 11,168 is: 15,411.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,120.76 : 27,766.13 = 11,168 : x
  2. Step 2: Convert to fraction form
    20,120.76/27,766.13 = 11,168/x
  3. Step 3: Cross multiply
    20,120.76x = 27,766.13 × 11,168
  4. Step 4: Simplify right side
    20,120.76x = 310,092,139.84
  5. Step 5: Solve for x
    x = 310,092,139.84/20,120.76
  6. Step 6: Final answer
    x = 15,411.55

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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.