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Finding the Fourth Proportional to 22,668.10, 31,277.15 and 13,713.82

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Solution

The fourth proportional to 22,668.10, 31,277.15 and 13,713.82 is: 18,922.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,668.10 : 31,277.15 = 13,713.82 : x
  2. Step 2: Convert to fraction form
    22,668.10/31,277.15 = 13,713.82/x
  3. Step 3: Cross multiply
    22,668.10x = 31,277.15 × 13,713.82
  4. Step 4: Simplify right side
    22,668.10x = 428,929,136.64
  5. Step 5: Solve for x
    x = 428,929,136.64/22,668.10
  6. Step 6: Final answer
    x = 18,922.15

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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.