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Finding the Fourth Proportional to 14,080.49, 19,413.42 and 9,035.81

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Solution

The fourth proportional to 14,080.49, 19,413.42 and 9,035.81 is: 12,458.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,080.49 : 19,413.42 = 9,035.81 : x
  2. Step 2: Convert to fraction form
    14,080.49/19,413.42 = 9,035.81/x
  3. Step 3: Cross multiply
    14,080.49x = 19,413.42 × 9,035.81
  4. Step 4: Simplify right side
    14,080.49x = 175,415,974.57
  5. Step 5: Solve for x
    x = 175,415,974.57/14,080.49
  6. Step 6: Final answer
    x = 12,458.09

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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.