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Finding the Fourth Proportional to 11,683,765.11, 17,509,982.03 and 9,093,198.03

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Solution

The fourth proportional to 11,683,765.11, 17,509,982.03 and 9,093,198.03 is: 13,627,604.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683,765.11 : 17,509,982.03 = 9,093,198.03 : x
  2. Step 2: Convert to fraction form
    11,683,765.11/17,509,982.03 = 9,093,198.03/x
  3. Step 3: Cross multiply
    11,683,765.11x = 17,509,982.03 × 9,093,198.03
  4. Step 4: Simplify right side
    11,683,765.11x = 159,221,734,030,141.84
  5. Step 5: Solve for x
    x = 159,221,734,030,141.84/11,683,765.11
  6. Step 6: Final answer
    x = 13,627,604.85

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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.