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Finding the Fourth Proportional to 19,418.09, 29,121.50 and 7,569.22

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Solution

The fourth proportional to 19,418.09, 29,121.50 and 7,569.22 is: 11,351.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,418.09 : 29,121.50 = 7,569.22 : x
  2. Step 2: Convert to fraction form
    19,418.09/29,121.50 = 7,569.22/x
  3. Step 3: Cross multiply
    19,418.09x = 29,121.50 × 7,569.22
  4. Step 4: Simplify right side
    19,418.09x = 220,427,040.23
  5. Step 5: Solve for x
    x = 220,427,040.23/19,418.09
  6. Step 6: Final answer
    x = 11,351.63

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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.