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Finding the Fourth Proportional to 23,149.67, 31,946.59 and 12,539.31

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Solution

The fourth proportional to 23,149.67, 31,946.59 and 12,539.31 is: 17,304.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,149.67 : 31,946.59 = 12,539.31 : x
  2. Step 2: Convert to fraction form
    23,149.67/31,946.59 = 12,539.31/x
  3. Step 3: Cross multiply
    23,149.67x = 31,946.59 × 12,539.31
  4. Step 4: Simplify right side
    23,149.67x = 400,588,195.45
  5. Step 5: Solve for x
    x = 400,588,195.45/23,149.67
  6. Step 6: Final answer
    x = 17,304.27

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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.