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Finding the Fourth Proportional to 13,853.93, 19,120.01 and 7,804.22

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Solution

The fourth proportional to 13,853.93, 19,120.01 and 7,804.22 is: 10,770.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853.93 : 19,120.01 = 7,804.22 : x
  2. Step 2: Convert to fraction form
    13,853.93/19,120.01 = 7,804.22/x
  3. Step 3: Cross multiply
    13,853.93x = 19,120.01 × 7,804.22
  4. Step 4: Simplify right side
    13,853.93x = 149,216,629.82
  5. Step 5: Solve for x
    x = 149,216,629.82/13,853.93
  6. Step 6: Final answer
    x = 10,770.71

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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.