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Finding the Fourth Proportional to 11,914.54, 17,843.63 and 10,346.02

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Solution

The fourth proportional to 11,914.54, 17,843.63 and 10,346.02 is: 15,494.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.54 : 17,843.63 = 10,346.02 : x
  2. Step 2: Convert to fraction form
    11,914.54/17,843.63 = 10,346.02/x
  3. Step 3: Cross multiply
    11,914.54x = 17,843.63 × 10,346.02
  4. Step 4: Simplify right side
    11,914.54x = 184,610,456.51
  5. Step 5: Solve for x
    x = 184,610,456.51/11,914.54
  6. Step 6: Final answer
    x = 15,494.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.