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Finding the Fourth Proportional to 12,219.35, 18,322.87 and 5,970

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Solution

The fourth proportional to 12,219.35, 18,322.87 and 5,970 is: 8,951.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,219.35 : 18,322.87 = 5,970 : x
  2. Step 2: Convert to fraction form
    12,219.35/18,322.87 = 5,970/x
  3. Step 3: Cross multiply
    12,219.35x = 18,322.87 × 5,970
  4. Step 4: Simplify right side
    12,219.35x = 109,387,533.90
  5. Step 5: Solve for x
    x = 109,387,533.90/12,219.35
  6. Step 6: Final answer
    x = 8,951.99

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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.