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Finding the Fourth Proportional to 12,647.52, 17,413.92 and 10,402.20

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Solution

The fourth proportional to 12,647.52, 17,413.92 and 10,402.20 is: 14,322.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.52 : 17,413.92 = 10,402.20 : x
  2. Step 2: Convert to fraction form
    12,647.52/17,413.92 = 10,402.20/x
  3. Step 3: Cross multiply
    12,647.52x = 17,413.92 × 10,402.20
  4. Step 4: Simplify right side
    12,647.52x = 181,143,078.62
  5. Step 5: Solve for x
    x = 181,143,078.62/12,647.52
  6. Step 6: Final answer
    x = 14,322.42

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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.