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Finding the Fourth Proportional to 11,734.77, 17,514.02 and 10,146.48

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Solution

The fourth proportional to 11,734.77, 17,514.02 and 10,146.48 is: 15,143.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,734.77 : 17,514.02 = 10,146.48 : x
  2. Step 2: Convert to fraction form
    11,734.77/17,514.02 = 10,146.48/x
  3. Step 3: Cross multiply
    11,734.77x = 17,514.02 × 10,146.48
  4. Step 4: Simplify right side
    11,734.77x = 177,705,602.92
  5. Step 5: Solve for x
    x = 177,705,602.92/11,734.77
  6. Step 6: Final answer
    x = 15,143.51

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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.