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Finding the Fourth Proportional to 17,696.96, 24,413.64 and 11,411.36

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Solution

The fourth proportional to 17,696.96, 24,413.64 and 11,411.36 is: 15,742.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,696.96 : 24,413.64 = 11,411.36 : x
  2. Step 2: Convert to fraction form
    17,696.96/24,413.64 = 11,411.36/x
  3. Step 3: Cross multiply
    17,696.96x = 24,413.64 × 11,411.36
  4. Step 4: Simplify right side
    17,696.96x = 278,592,834.95
  5. Step 5: Solve for x
    x = 278,592,834.95/17,696.96
  6. Step 6: Final answer
    x = 15,742.41

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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.