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Finding the Fourth Proportional to 14,413.96, 19,891.31 and 8,040.93

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Solution

The fourth proportional to 14,413.96, 19,891.31 and 8,040.93 is: 11,096.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,413.96 : 19,891.31 = 8,040.93 : x
  2. Step 2: Convert to fraction form
    14,413.96/19,891.31 = 8,040.93/x
  3. Step 3: Cross multiply
    14,413.96x = 19,891.31 × 8,040.93
  4. Step 4: Simplify right side
    14,413.96x = 159,944,631.32
  5. Step 5: Solve for x
    x = 159,944,631.32/14,413.96
  6. Step 6: Final answer
    x = 11,096.51

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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.