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Finding the Fourth Proportional to 20,105.61, 27,744.71 and 11,152.92

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Solution

The fourth proportional to 20,105.61, 27,744.71 and 11,152.92 is: 15,390.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,105.61 : 27,744.71 = 11,152.92 : x
  2. Step 2: Convert to fraction form
    20,105.61/27,744.71 = 11,152.92/x
  3. Step 3: Cross multiply
    20,105.61x = 27,744.71 × 11,152.92
  4. Step 4: Simplify right side
    20,105.61x = 309,434,475.29
  5. Step 5: Solve for x
    x = 309,434,475.29/20,105.61
  6. Step 6: Final answer
    x = 15,390.45

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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.