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Finding the Fourth Proportional to 23,173.90, 31,991.84 and 14,684.83

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Solution

The fourth proportional to 23,173.90, 31,991.84 and 14,684.83 is: 20,272.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,173.90 : 31,991.84 = 14,684.83 : x
  2. Step 2: Convert to fraction form
    23,173.90/31,991.84 = 14,684.83/x
  3. Step 3: Cross multiply
    23,173.90x = 31,991.84 × 14,684.83
  4. Step 4: Simplify right side
    23,173.90x = 469,794,731.79
  5. Step 5: Solve for x
    x = 469,794,731.79/23,173.90
  6. Step 6: Final answer
    x = 20,272.58

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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.