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Finding the Fourth Proportional to 20,002, 27,602.76 and 11,170

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Solution

The fourth proportional to 20,002, 27,602.76 and 11,170 is: 15,414.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,002 : 27,602.76 = 11,170 : x
  2. Step 2: Convert to fraction form
    20,002/27,602.76 = 11,170/x
  3. Step 3: Cross multiply
    20,002x = 27,602.76 × 11,170
  4. Step 4: Simplify right side
    20,002x = 308,322,829.20
  5. Step 5: Solve for x
    x = 308,322,829.20/20,002
  6. Step 6: Final answer
    x = 15,414.60

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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.