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Finding the Fourth Proportional to 17,584.50, 26,373.86 and 6,496.40

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Solution

The fourth proportional to 17,584.50, 26,373.86 and 6,496.40 is: 9,743.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,584.50 : 26,373.86 = 6,496.40 : x
  2. Step 2: Convert to fraction form
    17,584.50/26,373.86 = 6,496.40/x
  3. Step 3: Cross multiply
    17,584.50x = 26,373.86 × 6,496.40
  4. Step 4: Simplify right side
    17,584.50x = 171,335,144.10
  5. Step 5: Solve for x
    x = 171,335,144.10/17,584.50
  6. Step 6: Final answer
    x = 9,743.53

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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.