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Finding the Fourth Proportional to 12,219.37, 18,322.86 and 5,970.03

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Solution

The fourth proportional to 12,219.37, 18,322.86 and 5,970.03 is: 8,952.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,219.37 : 18,322.86 = 5,970.03 : x
  2. Step 2: Convert to fraction form
    12,219.37/18,322.86 = 5,970.03/x
  3. Step 3: Cross multiply
    12,219.37x = 18,322.86 × 5,970.03
  4. Step 4: Simplify right side
    12,219.37x = 109,388,023.89
  5. Step 5: Solve for x
    x = 109,388,023.89/12,219.37
  6. Step 6: Final answer
    x = 8,952.02

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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.