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Finding the Fourth Proportional to 20,103.84, 27,743.37 and 11,152.17

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Solution

The fourth proportional to 20,103.84, 27,743.37 and 11,152.17 is: 15,390.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,103.84 : 27,743.37 = 11,152.17 : x
  2. Step 2: Convert to fraction form
    20,103.84/27,743.37 = 11,152.17/x
  3. Step 3: Cross multiply
    20,103.84x = 27,743.37 × 11,152.17
  4. Step 4: Simplify right side
    20,103.84x = 309,398,778.61
  5. Step 5: Solve for x
    x = 309,398,778.61/20,103.84
  6. Step 6: Final answer
    x = 15,390.03

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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.