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Finding the Fourth Proportional to 11,894.08, 17,734.76 and 11,467.36

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Solution

The fourth proportional to 11,894.08, 17,734.76 and 11,467.36 is: 17,098.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.08 : 17,734.76 = 11,467.36 : x
  2. Step 2: Convert to fraction form
    11,894.08/17,734.76 = 11,467.36/x
  3. Step 3: Cross multiply
    11,894.08x = 17,734.76 × 11,467.36
  4. Step 4: Simplify right side
    11,894.08x = 203,370,877.43
  5. Step 5: Solve for x
    x = 203,370,877.43/11,894.08
  6. Step 6: Final answer
    x = 17,098.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.