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Finding the Fourth Proportional to 20,180.84, 27,851.38 and 11,228.20

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Solution

The fourth proportional to 20,180.84, 27,851.38 and 11,228.20 is: 15,495.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,180.84 : 27,851.38 = 11,228.20 : x
  2. Step 2: Convert to fraction form
    20,180.84/27,851.38 = 11,228.20/x
  3. Step 3: Cross multiply
    20,180.84x = 27,851.38 × 11,228.20
  4. Step 4: Simplify right side
    20,180.84x = 312,720,864.92
  5. Step 5: Solve for x
    x = 312,720,864.92/20,180.84
  6. Step 6: Final answer
    x = 15,495.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.