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Finding the Fourth Proportional to 20,143.94, 30,215 and 6,997.34

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Solution

The fourth proportional to 20,143.94, 30,215 and 6,997.34 is: 10,495.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,143.94 : 30,215 = 6,997.34 : x
  2. Step 2: Convert to fraction form
    20,143.94/30,215 = 6,997.34/x
  3. Step 3: Cross multiply
    20,143.94x = 30,215 × 6,997.34
  4. Step 4: Simplify right side
    20,143.94x = 211,424,477.03
  5. Step 5: Solve for x
    x = 211,424,477.03/20,143.94
  6. Step 6: Final answer
    x = 10,495.69

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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.