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Finding the Fourth Proportional to 18,705.25, 25,813.25 and 10,321.75

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Solution

The fourth proportional to 18,705.25, 25,813.25 and 10,321.75 is: 14,244.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,705.25 : 25,813.25 = 10,321.75 : x
  2. Step 2: Convert to fraction form
    18,705.25/25,813.25 = 10,321.75/x
  3. Step 3: Cross multiply
    18,705.25x = 25,813.25 × 10,321.75
  4. Step 4: Simplify right side
    18,705.25x = 266,437,913.19
  5. Step 5: Solve for x
    x = 266,437,913.19/18,705.25
  6. Step 6: Final answer
    x = 14,244.02

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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.