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Finding the Fourth Proportional to 12,647.14, 17,454.81 and 7,058.50

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Solution

The fourth proportional to 12,647.14, 17,454.81 and 7,058.50 is: 9,741.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.14 : 17,454.81 = 7,058.50 : x
  2. Step 2: Convert to fraction form
    12,647.14/17,454.81 = 7,058.50/x
  3. Step 3: Cross multiply
    12,647.14x = 17,454.81 × 7,058.50
  4. Step 4: Simplify right side
    12,647.14x = 123,204,776.39
  5. Step 5: Solve for x
    x = 123,204,776.39/12,647.14
  6. Step 6: Final answer
    x = 9,741.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.