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Finding the Fourth Proportional to 11,645.41, 17,469.10 and 10,274.89

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Solution

The fourth proportional to 11,645.41, 17,469.10 and 10,274.89 is: 15,413.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.41 : 17,469.10 = 10,274.89 : x
  2. Step 2: Convert to fraction form
    11,645.41/17,469.10 = 10,274.89/x
  3. Step 3: Cross multiply
    11,645.41x = 17,469.10 × 10,274.89
  4. Step 4: Simplify right side
    11,645.41x = 179,492,967.87
  5. Step 5: Solve for x
    x = 179,492,967.87/11,645.41
  6. Step 6: Final answer
    x = 15,413.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.