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Finding the Fourth Proportional to 31,640.88, 43,666.04 and 18,214.07

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Solution

The fourth proportional to 31,640.88, 43,666.04 and 18,214.07 is: 25,136.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,640.88 : 43,666.04 = 18,214.07 : x
  2. Step 2: Convert to fraction form
    31,640.88/43,666.04 = 18,214.07/x
  3. Step 3: Cross multiply
    31,640.88x = 43,666.04 × 18,214.07
  4. Step 4: Simplify right side
    31,640.88x = 795,336,033.93
  5. Step 5: Solve for x
    x = 795,336,033.93/31,640.88
  6. Step 6: Final answer
    x = 25,136.35

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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.