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Finding the Fourth Proportional to 20,138.76, 27,792.33 and 11,186.22

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Solution

The fourth proportional to 20,138.76, 27,792.33 and 11,186.22 is: 15,437.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.76 : 27,792.33 = 11,186.22 : x
  2. Step 2: Convert to fraction form
    20,138.76/27,792.33 = 11,186.22/x
  3. Step 3: Cross multiply
    20,138.76x = 27,792.33 × 11,186.22
  4. Step 4: Simplify right side
    20,138.76x = 310,891,117.69
  5. Step 5: Solve for x
    x = 310,891,117.69/20,138.76
  6. Step 6: Final answer
    x = 15,437.45

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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.