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Finding the Fourth Proportional to 20,077.35, 30,099.09 and 12,665.47

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Solution

The fourth proportional to 20,077.35, 30,099.09 and 12,665.47 is: 18,987.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,077.35 : 30,099.09 = 12,665.47 : x
  2. Step 2: Convert to fraction form
    20,077.35/30,099.09 = 12,665.47/x
  3. Step 3: Cross multiply
    20,077.35x = 30,099.09 × 12,665.47
  4. Step 4: Simplify right side
    20,077.35x = 381,219,046.17
  5. Step 5: Solve for x
    x = 381,219,046.17/20,077.35
  6. Step 6: Final answer
    x = 18,987.52

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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.