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Finding the Fourth Proportional to 12,803.44, 19,206.78 and 6,224.08

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Solution

The fourth proportional to 12,803.44, 19,206.78 and 6,224.08 is: 9,336.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,803.44 : 19,206.78 = 6,224.08 : x
  2. Step 2: Convert to fraction form
    12,803.44/19,206.78 = 6,224.08/x
  3. Step 3: Cross multiply
    12,803.44x = 19,206.78 × 6,224.08
  4. Step 4: Simplify right side
    12,803.44x = 119,544,535.26
  5. Step 5: Solve for x
    x = 119,544,535.26/12,803.44
  6. Step 6: Final answer
    x = 9,336.91

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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.