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Finding the Fourth Proportional to 20,138.80, 27,792.76 and 11,186.36

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Solution

The fourth proportional to 20,138.80, 27,792.76 and 11,186.36 is: 15,437.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.80 : 27,792.76 = 11,186.36 : x
  2. Step 2: Convert to fraction form
    20,138.80/27,792.76 = 11,186.36/x
  3. Step 3: Cross multiply
    20,138.80x = 27,792.76 × 11,186.36
  4. Step 4: Simplify right side
    20,138.80x = 310,899,818.75
  5. Step 5: Solve for x
    x = 310,899,818.75/20,138.80
  6. Step 6: Final answer
    x = 15,437.85

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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.