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Finding the Fourth Proportional to 18,749.68, 25,874.34 and 10,366

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Solution

The fourth proportional to 18,749.68, 25,874.34 and 10,366 is: 14,304.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,749.68 : 25,874.34 = 10,366 : x
  2. Step 2: Convert to fraction form
    18,749.68/25,874.34 = 10,366/x
  3. Step 3: Cross multiply
    18,749.68x = 25,874.34 × 10,366
  4. Step 4: Simplify right side
    18,749.68x = 268,213,408.44
  5. Step 5: Solve for x
    x = 268,213,408.44/18,749.68
  6. Step 6: Final answer
    x = 14,304.96

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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.