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Finding the Fourth Proportional to 11,894.54, 17,835.39 and 11,383.34

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Solution

The fourth proportional to 11,894.54, 17,835.39 and 11,383.34 is: 17,068.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.54 : 17,835.39 = 11,383.34 : x
  2. Step 2: Convert to fraction form
    11,894.54/17,835.39 = 11,383.34/x
  3. Step 3: Cross multiply
    11,894.54x = 17,835.39 × 11,383.34
  4. Step 4: Simplify right side
    11,894.54x = 203,026,219.23
  5. Step 5: Solve for x
    x = 203,026,219.23/11,894.54
  6. Step 6: Final answer
    x = 17,068.87

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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.