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Finding the Fourth Proportional to 20,093.14, 30,097.29 and 16,122.88

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Solution

The fourth proportional to 20,093.14, 30,097.29 and 16,122.88 is: 24,150.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,093.14 : 30,097.29 = 16,122.88 : x
  2. Step 2: Convert to fraction form
    20,093.14/30,097.29 = 16,122.88/x
  3. Step 3: Cross multiply
    20,093.14x = 30,097.29 × 16,122.88
  4. Step 4: Simplify right side
    20,093.14x = 485,254,995.00
  5. Step 5: Solve for x
    x = 485,254,995.00/20,093.14
  6. Step 6: Final answer
    x = 24,150.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.