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Finding the Fourth Proportional to 12,413.36, 17,130.68 and 6,824.56

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Solution

The fourth proportional to 12,413.36, 17,130.68 and 6,824.56 is: 9,418.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.36 : 17,130.68 = 6,824.56 : x
  2. Step 2: Convert to fraction form
    12,413.36/17,130.68 = 6,824.56/x
  3. Step 3: Cross multiply
    12,413.36x = 17,130.68 × 6,824.56
  4. Step 4: Simplify right side
    12,413.36x = 116,909,353.50
  5. Step 5: Solve for x
    x = 116,909,353.50/12,413.36
  6. Step 6: Final answer
    x = 9,418.03

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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.