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Finding the Fourth Proportional to 13,852.69, 19,114.48 and 7,884.46

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Solution

The fourth proportional to 13,852.69, 19,114.48 and 7,884.46 is: 10,879.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852.69 : 19,114.48 = 7,884.46 : x
  2. Step 2: Convert to fraction form
    13,852.69/19,114.48 = 7,884.46/x
  3. Step 3: Cross multiply
    13,852.69x = 19,114.48 × 7,884.46
  4. Step 4: Simplify right side
    13,852.69x = 150,707,352.98
  5. Step 5: Solve for x
    x = 150,707,352.98/13,852.69
  6. Step 6: Final answer
    x = 10,879.28

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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.