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Finding the Fourth Proportional to 14,584.56, 20,134.07 and 9,286.55

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Solution

The fourth proportional to 14,584.56, 20,134.07 and 9,286.55 is: 12,820.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,584.56 : 20,134.07 = 9,286.55 : x
  2. Step 2: Convert to fraction form
    14,584.56/20,134.07 = 9,286.55/x
  3. Step 3: Cross multiply
    14,584.56x = 20,134.07 × 9,286.55
  4. Step 4: Simplify right side
    14,584.56x = 186,976,010.98
  5. Step 5: Solve for x
    x = 186,976,010.98/14,584.56
  6. Step 6: Final answer
    x = 12,820.14

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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.