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Finding the Fourth Proportional to 20,168.49, 30,257.64 and 7,020.93

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Solution

The fourth proportional to 20,168.49, 30,257.64 and 7,020.93 is: 10,533.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,168.49 : 30,257.64 = 7,020.93 : x
  2. Step 2: Convert to fraction form
    20,168.49/30,257.64 = 7,020.93/x
  3. Step 3: Cross multiply
    20,168.49x = 30,257.64 × 7,020.93
  4. Step 4: Simplify right side
    20,168.49x = 212,436,772.41
  5. Step 5: Solve for x
    x = 212,436,772.41/20,168.49
  6. Step 6: Final answer
    x = 10,533.10

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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.