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Finding the Fourth Proportional to 14,255.96, 19,672.47 and 8,286.66

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Solution

The fourth proportional to 14,255.96, 19,672.47 and 8,286.66 is: 11,435.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,255.96 : 19,672.47 = 8,286.66 : x
  2. Step 2: Convert to fraction form
    14,255.96/19,672.47 = 8,286.66/x
  3. Step 3: Cross multiply
    14,255.96x = 19,672.47 × 8,286.66
  4. Step 4: Simplify right side
    14,255.96x = 163,019,070.25
  5. Step 5: Solve for x
    x = 163,019,070.25/14,255.96
  6. Step 6: Final answer
    x = 11,435.16

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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.