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Finding the Fourth Proportional to 17,584.29, 26,367.93 and 6,496.20

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Solution

The fourth proportional to 17,584.29, 26,367.93 and 6,496.20 is: 9,741.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,584.29 : 26,367.93 = 6,496.20 : x
  2. Step 2: Convert to fraction form
    17,584.29/26,367.93 = 6,496.20/x
  3. Step 3: Cross multiply
    17,584.29x = 26,367.93 × 6,496.20
  4. Step 4: Simplify right side
    17,584.29x = 171,291,346.87
  5. Step 5: Solve for x
    x = 171,291,346.87/17,584.29
  6. Step 6: Final answer
    x = 9,741.16

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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.