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Finding the Fourth Proportional to 17,142.29, 25,668.30 and 13,792.71

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Solution

The fourth proportional to 17,142.29, 25,668.30 and 13,792.71 is: 20,652.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,142.29 : 25,668.30 = 13,792.71 : x
  2. Step 2: Convert to fraction form
    17,142.29/25,668.30 = 13,792.71/x
  3. Step 3: Cross multiply
    17,142.29x = 25,668.30 × 13,792.71
  4. Step 4: Simplify right side
    17,142.29x = 354,035,418.09
  5. Step 5: Solve for x
    x = 354,035,418.09/17,142.29
  6. Step 6: Final answer
    x = 20,652.75

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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.