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Finding the Fourth Proportional to 23,167.50, 31,973.31 and 13,231.50

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Solution

The fourth proportional to 23,167.50, 31,973.31 and 13,231.50 is: 18,260.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,167.50 : 31,973.31 = 13,231.50 : x
  2. Step 2: Convert to fraction form
    23,167.50/31,973.31 = 13,231.50/x
  3. Step 3: Cross multiply
    23,167.50x = 31,973.31 × 13,231.50
  4. Step 4: Simplify right side
    23,167.50x = 423,054,851.27
  5. Step 5: Solve for x
    x = 423,054,851.27/23,167.50
  6. Step 6: Final answer
    x = 18,260.70

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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.