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Finding the Fourth Proportional to 20,242.50, 27,933.84 and 11,289.93

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Solution

The fourth proportional to 20,242.50, 27,933.84 and 11,289.93 is: 15,579.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,242.50 : 27,933.84 = 11,289.93 : x
  2. Step 2: Convert to fraction form
    20,242.50/27,933.84 = 11,289.93/x
  3. Step 3: Cross multiply
    20,242.50x = 27,933.84 × 11,289.93
  4. Step 4: Simplify right side
    20,242.50x = 315,371,098.23
  5. Step 5: Solve for x
    x = 315,371,098.23/20,242.50
  6. Step 6: Final answer
    x = 15,579.65

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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.