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Finding the Fourth Proportional to 19,340.84, 29,019.42 and 8,249.96

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Solution

The fourth proportional to 19,340.84, 29,019.42 and 8,249.96 is: 12,378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,340.84 : 29,019.42 = 8,249.96 : x
  2. Step 2: Convert to fraction form
    19,340.84/29,019.42 = 8,249.96/x
  3. Step 3: Cross multiply
    19,340.84x = 29,019.42 × 8,249.96
  4. Step 4: Simplify right side
    19,340.84x = 239,409,054.22
  5. Step 5: Solve for x
    x = 239,409,054.22/19,340.84
  6. Step 6: Final answer
    x = 12,378.42

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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.