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Finding the Fourth Proportional to 13,040.69, 17,994.50 and 7,734.47

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Solution

The fourth proportional to 13,040.69, 17,994.50 and 7,734.47 is: 10,672.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,040.69 : 17,994.50 = 7,734.47 : x
  2. Step 2: Convert to fraction form
    13,040.69/17,994.50 = 7,734.47/x
  3. Step 3: Cross multiply
    13,040.69x = 17,994.50 × 7,734.47
  4. Step 4: Simplify right side
    13,040.69x = 139,177,791.77
  5. Step 5: Solve for x
    x = 139,177,791.77/13,040.69
  6. Step 6: Final answer
    x = 10,672.58

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