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Finding the Fourth Proportional to 12,257.43, 16,912.65 and 8,014.69

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Solution

The fourth proportional to 12,257.43, 16,912.65 and 8,014.69 is: 11,058.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.43 : 16,912.65 = 8,014.69 : x
  2. Step 2: Convert to fraction form
    12,257.43/16,912.65 = 8,014.69/x
  3. Step 3: Cross multiply
    12,257.43x = 16,912.65 × 8,014.69
  4. Step 4: Simplify right side
    12,257.43x = 135,549,646.83
  5. Step 5: Solve for x
    x = 135,549,646.83/12,257.43
  6. Step 6: Final answer
    x = 11,058.57

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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.