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Finding the Fourth Proportional to 18,612.25, 25,684.91 and 10,228.75

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Solution

The fourth proportional to 18,612.25, 25,684.91 and 10,228.75 is: 14,115.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,612.25 : 25,684.91 = 10,228.75 : x
  2. Step 2: Convert to fraction form
    18,612.25/25,684.91 = 10,228.75/x
  3. Step 3: Cross multiply
    18,612.25x = 25,684.91 × 10,228.75
  4. Step 4: Simplify right side
    18,612.25x = 262,724,523.16
  5. Step 5: Solve for x
    x = 262,724,523.16/18,612.25
  6. Step 6: Final answer
    x = 14,115.68

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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.