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Finding the Fourth Proportional to 13,804.88, 19,050.75 and 7,517.25

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Solution

The fourth proportional to 13,804.88, 19,050.75 and 7,517.25 is: 10,373.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.88 : 19,050.75 = 7,517.25 : x
  2. Step 2: Convert to fraction form
    13,804.88/19,050.75 = 7,517.25/x
  3. Step 3: Cross multiply
    13,804.88x = 19,050.75 × 7,517.25
  4. Step 4: Simplify right side
    13,804.88x = 143,209,250.44
  5. Step 5: Solve for x
    x = 143,209,250.44/13,804.88
  6. Step 6: Final answer
    x = 10,373.82

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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.