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Finding the Fourth Proportional to 12,858.14, 19,290.42 and 5,067.56

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Solution

The fourth proportional to 12,858.14, 19,290.42 and 5,067.56 is: 7,602.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,858.14 : 19,290.42 = 5,067.56 : x
  2. Step 2: Convert to fraction form
    12,858.14/19,290.42 = 5,067.56/x
  3. Step 3: Cross multiply
    12,858.14x = 19,290.42 × 5,067.56
  4. Step 4: Simplify right side
    12,858.14x = 97,755,360.78
  5. Step 5: Solve for x
    x = 97,755,360.78/12,858.14
  6. Step 6: Final answer
    x = 7,602.61

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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.