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Finding the Fourth Proportional to 17,097.76, 23,584.74 and 10,380.01

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Solution

The fourth proportional to 17,097.76, 23,584.74 and 10,380.01 is: 14,318.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,097.76 : 23,584.74 = 10,380.01 : x
  2. Step 2: Convert to fraction form
    17,097.76/23,584.74 = 10,380.01/x
  3. Step 3: Cross multiply
    17,097.76x = 23,584.74 × 10,380.01
  4. Step 4: Simplify right side
    17,097.76x = 244,809,837.05
  5. Step 5: Solve for x
    x = 244,809,837.05/17,097.76
  6. Step 6: Final answer
    x = 14,318.24

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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.