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Finding the Fourth Proportional to 22,941, 31,668.29 and 13,991.71

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Solution

The fourth proportional to 22,941, 31,668.29 and 13,991.71 is: 19,314.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,941 : 31,668.29 = 13,991.71 : x
  2. Step 2: Convert to fraction form
    22,941/31,668.29 = 13,991.71/x
  3. Step 3: Cross multiply
    22,941x = 31,668.29 × 13,991.71
  4. Step 4: Simplify right side
    22,941x = 443,093,529.88
  5. Step 5: Solve for x
    x = 443,093,529.88/22,941
  6. Step 6: Final answer
    x = 19,314.48

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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.