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Finding the Fourth Proportional to 11,900.28, 17,954.32 and 11,867.48

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Solution

The fourth proportional to 11,900.28, 17,954.32 and 11,867.48 is: 17,904.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.28 : 17,954.32 = 11,867.48 : x
  2. Step 2: Convert to fraction form
    11,900.28/17,954.32 = 11,867.48/x
  3. Step 3: Cross multiply
    11,900.28x = 17,954.32 × 11,867.48
  4. Step 4: Simplify right side
    11,900.28x = 213,072,533.51
  5. Step 5: Solve for x
    x = 213,072,533.51/11,900.28
  6. Step 6: Final answer
    x = 17,904.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.