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Finding the Fourth Proportional to 12,841.93, 17,722.38 and 7,464.34

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Solution

The fourth proportional to 12,841.93, 17,722.38 and 7,464.34 is: 10,301.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,841.93 : 17,722.38 = 7,464.34 : x
  2. Step 2: Convert to fraction form
    12,841.93/17,722.38 = 7,464.34/x
  3. Step 3: Cross multiply
    12,841.93x = 17,722.38 × 7,464.34
  4. Step 4: Simplify right side
    12,841.93x = 132,285,869.93
  5. Step 5: Solve for x
    x = 132,285,869.93/12,841.93
  6. Step 6: Final answer
    x = 10,301.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.