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Finding the Fourth Proportional to 11,817.94, 17,587.42 and 11,424.22

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Solution

The fourth proportional to 11,817.94, 17,587.42 and 11,424.22 is: 17,001.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.94 : 17,587.42 = 11,424.22 : x
  2. Step 2: Convert to fraction form
    11,817.94/17,587.42 = 11,424.22/x
  3. Step 3: Cross multiply
    11,817.94x = 17,587.42 × 11,424.22
  4. Step 4: Simplify right side
    11,817.94x = 200,922,555.31
  5. Step 5: Solve for x
    x = 200,922,555.31/11,817.94
  6. Step 6: Final answer
    x = 17,001.49

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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.