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Finding the Fourth Proportional to 15,717.62, 23,546.46 and 8,097.14

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Solution

The fourth proportional to 15,717.62, 23,546.46 and 8,097.14 is: 12,130.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,717.62 : 23,546.46 = 8,097.14 : x
  2. Step 2: Convert to fraction form
    15,717.62/23,546.46 = 8,097.14/x
  3. Step 3: Cross multiply
    15,717.62x = 23,546.46 × 8,097.14
  4. Step 4: Simplify right side
    15,717.62x = 190,658,983.12
  5. Step 5: Solve for x
    x = 190,658,983.12/15,717.62
  6. Step 6: Final answer
    x = 12,130.27

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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.