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Finding the Fourth Proportional to 13,804.97, 19,051.31 and 7,517.57

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Solution

The fourth proportional to 13,804.97, 19,051.31 and 7,517.57 is: 10,374.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.97 : 19,051.31 = 7,517.57 : x
  2. Step 2: Convert to fraction form
    13,804.97/19,051.31 = 7,517.57/x
  3. Step 3: Cross multiply
    13,804.97x = 19,051.31 × 7,517.57
  4. Step 4: Simplify right side
    13,804.97x = 143,219,480.05
  5. Step 5: Solve for x
    x = 143,219,480.05/13,804.97
  6. Step 6: Final answer
    x = 10,374.49

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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.