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Finding the Fourth Proportional to 13,813.74, 19,029.74 and 11,413.71

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Solution

The fourth proportional to 13,813.74, 19,029.74 and 11,413.71 is: 15,723.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.74 : 19,029.74 = 11,413.71 : x
  2. Step 2: Convert to fraction form
    13,813.74/19,029.74 = 11,413.71/x
  3. Step 3: Cross multiply
    13,813.74x = 19,029.74 × 11,413.71
  4. Step 4: Simplify right side
    13,813.74x = 217,199,876.67
  5. Step 5: Solve for x
    x = 217,199,876.67/13,813.74
  6. Step 6: Final answer
    x = 15,723.47

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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.