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Finding the Fourth Proportional to 17,413.59, 24,050.34 and 11,771.63

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Solution

The fourth proportional to 17,413.59, 24,050.34 and 11,771.63 is: 16,258.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,413.59 : 24,050.34 = 11,771.63 : x
  2. Step 2: Convert to fraction form
    17,413.59/24,050.34 = 11,771.63/x
  3. Step 3: Cross multiply
    17,413.59x = 24,050.34 × 11,771.63
  4. Step 4: Simplify right side
    17,413.59x = 283,111,583.60
  5. Step 5: Solve for x
    x = 283,111,583.60/17,413.59
  6. Step 6: Final answer
    x = 16,258.08

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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.