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Finding the Fourth Proportional to 17,124.96, 25,702.02 and 6,744

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Solution

The fourth proportional to 17,124.96, 25,702.02 and 6,744 is: 10,121.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,124.96 : 25,702.02 = 6,744 : x
  2. Step 2: Convert to fraction form
    17,124.96/25,702.02 = 6,744/x
  3. Step 3: Cross multiply
    17,124.96x = 25,702.02 × 6,744
  4. Step 4: Simplify right side
    17,124.96x = 173,334,422.88
  5. Step 5: Solve for x
    x = 173,334,422.88/17,124.96
  6. Step 6: Final answer
    x = 10,121.74

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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.