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Finding the Fourth Proportional to 20,102.30, 27,740.90 and 11,149.82

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Solution

The fourth proportional to 20,102.30, 27,740.90 and 11,149.82 is: 15,386.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.30 : 27,740.90 = 11,149.82 : x
  2. Step 2: Convert to fraction form
    20,102.30/27,740.90 = 11,149.82/x
  3. Step 3: Cross multiply
    20,102.30x = 27,740.90 × 11,149.82
  4. Step 4: Simplify right side
    20,102.30x = 309,306,041.64
  5. Step 5: Solve for x
    x = 309,306,041.64/20,102.30
  6. Step 6: Final answer
    x = 15,386.60

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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.