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Finding the Fourth Proportional to 12,994.24, 19,478.84 and 4,223.20

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Solution

The fourth proportional to 12,994.24, 19,478.84 and 4,223.20 is: 6,330.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,994.24 : 19,478.84 = 4,223.20 : x
  2. Step 2: Convert to fraction form
    12,994.24/19,478.84 = 4,223.20/x
  3. Step 3: Cross multiply
    12,994.24x = 19,478.84 × 4,223.20
  4. Step 4: Simplify right side
    12,994.24x = 82,263,037.09
  5. Step 5: Solve for x
    x = 82,263,037.09/12,994.24
  6. Step 6: Final answer
    x = 6,330.73

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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.