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Finding the Fourth Proportional to 12,413.49, 18,625.05 and 9,808.26

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Solution

The fourth proportional to 12,413.49, 18,625.05 and 9,808.26 is: 14,716.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.49 : 18,625.05 = 9,808.26 : x
  2. Step 2: Convert to fraction form
    12,413.49/18,625.05 = 9,808.26/x
  3. Step 3: Cross multiply
    12,413.49x = 18,625.05 × 9,808.26
  4. Step 4: Simplify right side
    12,413.49x = 182,679,332.91
  5. Step 5: Solve for x
    x = 182,679,332.91/12,413.49
  6. Step 6: Final answer
    x = 14,716.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.