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Finding the Fourth Proportional to 10,674.17, 16,027.66 and 9,515.06

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Solution

The fourth proportional to 10,674.17, 16,027.66 and 9,515.06 is: 14,287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.17 : 16,027.66 = 9,515.06 : x
  2. Step 2: Convert to fraction form
    10,674.17/16,027.66 = 9,515.06/x
  3. Step 3: Cross multiply
    10,674.17x = 16,027.66 × 9,515.06
  4. Step 4: Simplify right side
    10,674.17x = 152,504,146.56
  5. Step 5: Solve for x
    x = 152,504,146.56/10,674.17
  6. Step 6: Final answer
    x = 14,287.21

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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.