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Finding the Fourth Proportional to 18,361.77, 25,340.43 and 10,296

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Solution

The fourth proportional to 18,361.77, 25,340.43 and 10,296 is: 14,209.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,361.77 : 25,340.43 = 10,296 : x
  2. Step 2: Convert to fraction form
    18,361.77/25,340.43 = 10,296/x
  3. Step 3: Cross multiply
    18,361.77x = 25,340.43 × 10,296
  4. Step 4: Simplify right side
    18,361.77x = 260,905,067.28
  5. Step 5: Solve for x
    x = 260,905,067.28/18,361.77
  6. Step 6: Final answer
    x = 14,209.15

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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.