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Finding the Fourth Proportional to 20,175.94, 27,842.02 and 11,223.15

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Solution

The fourth proportional to 20,175.94, 27,842.02 and 11,223.15 is: 15,487.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,175.94 : 27,842.02 = 11,223.15 : x
  2. Step 2: Convert to fraction form
    20,175.94/27,842.02 = 11,223.15/x
  3. Step 3: Cross multiply
    20,175.94x = 27,842.02 × 11,223.15
  4. Step 4: Simplify right side
    20,175.94x = 312,475,166.76
  5. Step 5: Solve for x
    x = 312,475,166.76/20,175.94
  6. Step 6: Final answer
    x = 15,487.51

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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.