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Finding the Fourth Proportional to 20,048.84, 27,664.50 and 11,095.88

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Solution

The fourth proportional to 20,048.84, 27,664.50 and 11,095.88 is: 15,310.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,048.84 : 27,664.50 = 11,095.88 : x
  2. Step 2: Convert to fraction form
    20,048.84/27,664.50 = 11,095.88/x
  3. Step 3: Cross multiply
    20,048.84x = 27,664.50 × 11,095.88
  4. Step 4: Simplify right side
    20,048.84x = 306,961,972.26
  5. Step 5: Solve for x
    x = 306,961,972.26/20,048.84
  6. Step 6: Final answer
    x = 15,310.71

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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.