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Finding the Fourth Proportional to 12,719.69, 17,553.17 and 7,413.48

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Solution

The fourth proportional to 12,719.69, 17,553.17 and 7,413.48 is: 10,230.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,719.69 : 17,553.17 = 7,413.48 : x
  2. Step 2: Convert to fraction form
    12,719.69/17,553.17 = 7,413.48/x
  3. Step 3: Cross multiply
    12,719.69x = 17,553.17 × 7,413.48
  4. Step 4: Simplify right side
    12,719.69x = 130,130,074.73
  5. Step 5: Solve for x
    x = 130,130,074.73/12,719.69
  6. Step 6: Final answer
    x = 10,230.60

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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.