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Finding the Fourth Proportional to 13,833.88, 19,090.75 and 7,546.25

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Solution

The fourth proportional to 13,833.88, 19,090.75 and 7,546.25 is: 10,413.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.88 : 19,090.75 = 7,546.25 : x
  2. Step 2: Convert to fraction form
    13,833.88/19,090.75 = 7,546.25/x
  3. Step 3: Cross multiply
    13,833.88x = 19,090.75 × 7,546.25
  4. Step 4: Simplify right side
    13,833.88x = 144,063,572.19
  5. Step 5: Solve for x
    x = 144,063,572.19/13,833.88
  6. Step 6: Final answer
    x = 10,413.82

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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.