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Finding the Fourth Proportional to 17,097.77, 25,644.09 and 5,409.47

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Solution

The fourth proportional to 17,097.77, 25,644.09 and 5,409.47 is: 8,113.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,097.77 : 25,644.09 = 5,409.47 : x
  2. Step 2: Convert to fraction form
    17,097.77/25,644.09 = 5,409.47/x
  3. Step 3: Cross multiply
    17,097.77x = 25,644.09 × 5,409.47
  4. Step 4: Simplify right side
    17,097.77x = 138,720,999.64
  5. Step 5: Solve for x
    x = 138,720,999.64/17,097.77
  6. Step 6: Final answer
    x = 8,113.40

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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.