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Finding the Fourth Proportional to 31,626.56, 43,643.04 and 18,200

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Solution

The fourth proportional to 31,626.56, 43,643.04 and 18,200 is: 25,115.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,626.56 : 43,643.04 = 18,200 : x
  2. Step 2: Convert to fraction form
    31,626.56/43,643.04 = 18,200/x
  3. Step 3: Cross multiply
    31,626.56x = 43,643.04 × 18,200
  4. Step 4: Simplify right side
    31,626.56x = 794,303,328
  5. Step 5: Solve for x
    x = 794,303,328/31,626.56
  6. Step 6: Final answer
    x = 25,115.07

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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.