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Finding the Fourth Proportional to 20,102.06, 27,737.52 and 11,148.14

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Solution

The fourth proportional to 20,102.06, 27,737.52 and 11,148.14 is: 15,382.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.06 : 27,737.52 = 11,148.14 : x
  2. Step 2: Convert to fraction form
    20,102.06/27,737.52 = 11,148.14/x
  3. Step 3: Cross multiply
    20,102.06x = 27,737.52 × 11,148.14
  4. Step 4: Simplify right side
    20,102.06x = 309,221,756.21
  5. Step 5: Solve for x
    x = 309,221,756.21/20,102.06
  6. Step 6: Final answer
    x = 15,382.59

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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.