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Finding the Fourth Proportional to 23,922.86, 33,012.71 and 13,167.68

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Solution

The fourth proportional to 23,922.86, 33,012.71 and 13,167.68 is: 18,170.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,922.86 : 33,012.71 = 13,167.68 : x
  2. Step 2: Convert to fraction form
    23,922.86/33,012.71 = 13,167.68/x
  3. Step 3: Cross multiply
    23,922.86x = 33,012.71 × 13,167.68
  4. Step 4: Simplify right side
    23,922.86x = 434,700,570.31
  5. Step 5: Solve for x
    x = 434,700,570.31/23,922.86
  6. Step 6: Final answer
    x = 18,170.93

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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.