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Finding the Fourth Proportional to 31,643.29, 43,668.62 and 17,496.64

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Solution

The fourth proportional to 31,643.29, 43,668.62 and 17,496.64 is: 24,145.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,643.29 : 43,668.62 = 17,496.64 : x
  2. Step 2: Convert to fraction form
    31,643.29/43,668.62 = 17,496.64/x
  3. Step 3: Cross multiply
    31,643.29x = 43,668.62 × 17,496.64
  4. Step 4: Simplify right side
    31,643.29x = 764,054,035.95
  5. Step 5: Solve for x
    x = 764,054,035.95/31,643.29
  6. Step 6: Final answer
    x = 24,145.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.