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Finding the Fourth Proportional to 31,647.65, 43,673.68 and 18,214.00

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Solution

The fourth proportional to 31,647.65, 43,673.68 and 18,214.00 is: 25,135.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,647.65 : 43,673.68 = 18,214.00 : x
  2. Step 2: Convert to fraction form
    31,647.65/43,673.68 = 18,214.00/x
  3. Step 3: Cross multiply
    31,647.65x = 43,673.68 × 18,214.00
  4. Step 4: Simplify right side
    31,647.65x = 795,472,321.10
  5. Step 5: Solve for x
    x = 795,472,321.10/31,647.65
  6. Step 6: Final answer
    x = 25,135.28

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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.