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Finding the Fourth Proportional to 34,190.19, 51,293.55 and 12,843.09

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Solution

The fourth proportional to 34,190.19, 51,293.55 and 12,843.09 is: 19,267.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,190.19 : 51,293.55 = 12,843.09 : x
  2. Step 2: Convert to fraction form
    34,190.19/51,293.55 = 12,843.09/x
  3. Step 3: Cross multiply
    34,190.19x = 51,293.55 × 12,843.09
  4. Step 4: Simplify right side
    34,190.19x = 658,767,679.07
  5. Step 5: Solve for x
    x = 658,767,679.07/34,190.19
  6. Step 6: Final answer
    x = 19,267.74

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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.