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Finding the Fourth Proportional to 20,098.61, 27,734.22 and 11,145.95

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Solution

The fourth proportional to 20,098.61, 27,734.22 and 11,145.95 is: 15,380.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.61 : 27,734.22 = 11,145.95 : x
  2. Step 2: Convert to fraction form
    20,098.61/27,734.22 = 11,145.95/x
  3. Step 3: Cross multiply
    20,098.61x = 27,734.22 × 11,145.95
  4. Step 4: Simplify right side
    20,098.61x = 309,124,090.74
  5. Step 5: Solve for x
    x = 309,124,090.74/20,098.61
  6. Step 6: Final answer
    x = 15,380.38

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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.