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Finding the Fourth Proportional to 18,296, 25,252.14 and 10,338.32

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Solution

The fourth proportional to 18,296, 25,252.14 and 10,338.32 is: 14,268.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,296 : 25,252.14 = 10,338.32 : x
  2. Step 2: Convert to fraction form
    18,296/25,252.14 = 10,338.32/x
  3. Step 3: Cross multiply
    18,296x = 25,252.14 × 10,338.32
  4. Step 4: Simplify right side
    18,296x = 261,064,704.00
  5. Step 5: Solve for x
    x = 261,064,704.00/18,296
  6. Step 6: Final answer
    x = 14,268.95

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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.