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Finding the Fourth Proportional to 20,184.80, 27,854.94 and 11,233.16

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Solution

The fourth proportional to 20,184.80, 27,854.94 and 11,233.16 is: 15,501.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,184.80 : 27,854.94 = 11,233.16 : x
  2. Step 2: Convert to fraction form
    20,184.80/27,854.94 = 11,233.16/x
  3. Step 3: Cross multiply
    20,184.80x = 27,854.94 × 11,233.16
  4. Step 4: Simplify right side
    20,184.80x = 312,898,997.81
  5. Step 5: Solve for x
    x = 312,898,997.81/20,184.80
  6. Step 6: Final answer
    x = 15,501.71

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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.