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Finding the Fourth Proportional to 12,413.74, 17,131.12 and 6,748.60

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Solution

The fourth proportional to 12,413.74, 17,131.12 and 6,748.60 is: 9,313.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.74 : 17,131.12 = 6,748.60 : x
  2. Step 2: Convert to fraction form
    12,413.74/17,131.12 = 6,748.60/x
  3. Step 3: Cross multiply
    12,413.74x = 17,131.12 × 6,748.60
  4. Step 4: Simplify right side
    12,413.74x = 115,611,076.43
  5. Step 5: Solve for x
    x = 115,611,076.43/12,413.74
  6. Step 6: Final answer
    x = 9,313.15

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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.