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Finding the Fourth Proportional to 20,141.35, 27,794.70 and 11,188.63

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Solution

The fourth proportional to 20,141.35, 27,794.70 and 11,188.63 is: 15,440.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,141.35 : 27,794.70 = 11,188.63 : x
  2. Step 2: Convert to fraction form
    20,141.35/27,794.70 = 11,188.63/x
  3. Step 3: Cross multiply
    20,141.35x = 27,794.70 × 11,188.63
  4. Step 4: Simplify right side
    20,141.35x = 310,984,614.26
  5. Step 5: Solve for x
    x = 310,984,614.26/20,141.35
  6. Step 6: Final answer
    x = 15,440.11

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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.