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Finding the Fourth Proportional to 18,378, 25,361.64 and 10,926

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Solution

The fourth proportional to 18,378, 25,361.64 and 10,926 is: 15,077.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,378 : 25,361.64 = 10,926 : x
  2. Step 2: Convert to fraction form
    18,378/25,361.64 = 10,926/x
  3. Step 3: Cross multiply
    18,378x = 25,361.64 × 10,926
  4. Step 4: Simplify right side
    18,378x = 277,101,278.64
  5. Step 5: Solve for x
    x = 277,101,278.64/18,378
  6. Step 6: Final answer
    x = 15,077.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.