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Finding the Fourth Proportional to 23,007.94, 31,751.22 and 13,933.14

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Solution

The fourth proportional to 23,007.94, 31,751.22 and 13,933.14 is: 19,227.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,007.94 : 31,751.22 = 13,933.14 : x
  2. Step 2: Convert to fraction form
    23,007.94/31,751.22 = 13,933.14/x
  3. Step 3: Cross multiply
    23,007.94x = 31,751.22 × 13,933.14
  4. Step 4: Simplify right side
    23,007.94x = 442,394,126.61
  5. Step 5: Solve for x
    x = 442,394,126.61/23,007.94
  6. Step 6: Final answer
    x = 19,227.89

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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.