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Finding the Fourth Proportional to 17,097.55, 25,643.76 and 5,409.25

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Solution

The fourth proportional to 17,097.55, 25,643.76 and 5,409.25 is: 8,113.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,097.55 : 25,643.76 = 5,409.25 : x
  2. Step 2: Convert to fraction form
    17,097.55/25,643.76 = 5,409.25/x
  3. Step 3: Cross multiply
    17,097.55x = 25,643.76 × 5,409.25
  4. Step 4: Simplify right side
    17,097.55x = 138,713,508.78
  5. Step 5: Solve for x
    x = 138,713,508.78/17,097.55
  6. Step 6: Final answer
    x = 8,113.06

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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.