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Finding the Fourth Proportional to 12,705.42, 19,058.52 and 3,940.38

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Solution

The fourth proportional to 12,705.42, 19,058.52 and 3,940.38 is: 5,910.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.42 : 19,058.52 = 3,940.38 : x
  2. Step 2: Convert to fraction form
    12,705.42/19,058.52 = 3,940.38/x
  3. Step 3: Cross multiply
    12,705.42x = 19,058.52 × 3,940.38
  4. Step 4: Simplify right side
    12,705.42x = 75,097,811.04
  5. Step 5: Solve for x
    x = 75,097,811.04/12,705.42
  6. Step 6: Final answer
    x = 5,910.69

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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.