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Finding the Fourth Proportional to 20,727.76, 28,605 and 11,296.66

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Solution

The fourth proportional to 20,727.76, 28,605 and 11,296.66 is: 15,589.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,727.76 : 28,605 = 11,296.66 : x
  2. Step 2: Convert to fraction form
    20,727.76/28,605 = 11,296.66/x
  3. Step 3: Cross multiply
    20,727.76x = 28,605 × 11,296.66
  4. Step 4: Simplify right side
    20,727.76x = 323,140,959.30
  5. Step 5: Solve for x
    x = 323,140,959.30/20,727.76
  6. Step 6: Final answer
    x = 15,589.77

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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.