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Finding the Fourth Proportional to 17,095.26, 25,643.79 and 5,407.57

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Solution

The fourth proportional to 17,095.26, 25,643.79 and 5,407.57 is: 8,111.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,095.26 : 25,643.79 = 5,407.57 : x
  2. Step 2: Convert to fraction form
    17,095.26/25,643.79 = 5,407.57/x
  3. Step 3: Cross multiply
    17,095.26x = 25,643.79 × 5,407.57
  4. Step 4: Simplify right side
    17,095.26x = 138,670,589.49
  5. Step 5: Solve for x
    x = 138,670,589.49/17,095.26
  6. Step 6: Final answer
    x = 8,111.64

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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.