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Finding the Fourth Proportional to 20,097.66, 30,146.49 and 12,355.68

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Solution

The fourth proportional to 20,097.66, 30,146.49 and 12,355.68 is: 18,533.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097.66 : 30,146.49 = 12,355.68 : x
  2. Step 2: Convert to fraction form
    20,097.66/30,146.49 = 12,355.68/x
  3. Step 3: Cross multiply
    20,097.66x = 30,146.49 × 12,355.68
  4. Step 4: Simplify right side
    20,097.66x = 372,480,383.56
  5. Step 5: Solve for x
    x = 372,480,383.56/20,097.66
  6. Step 6: Final answer
    x = 18,533.52

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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.