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Finding the Fourth Proportional to 18,584.50, 25,646.70 and 10,201

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Solution

The fourth proportional to 18,584.50, 25,646.70 and 10,201 is: 14,077.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,584.50 : 25,646.70 = 10,201 : x
  2. Step 2: Convert to fraction form
    18,584.50/25,646.70 = 10,201/x
  3. Step 3: Cross multiply
    18,584.50x = 25,646.70 × 10,201
  4. Step 4: Simplify right side
    18,584.50x = 261,621,986.70
  5. Step 5: Solve for x
    x = 261,621,986.70/18,584.50
  6. Step 6: Final answer
    x = 14,077.43

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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.