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Finding the Fourth Proportional to 13,341.06, 18,413.72 and 8,309.14

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Solution

The fourth proportional to 13,341.06, 18,413.72 and 8,309.14 is: 11,468.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,341.06 : 18,413.72 = 8,309.14 : x
  2. Step 2: Convert to fraction form
    13,341.06/18,413.72 = 8,309.14/x
  3. Step 3: Cross multiply
    13,341.06x = 18,413.72 × 8,309.14
  4. Step 4: Simplify right side
    13,341.06x = 153,002,177.40
  5. Step 5: Solve for x
    x = 153,002,177.40/13,341.06
  6. Step 6: Final answer
    x = 11,468.52

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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.