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Finding the Fourth Proportional to 12,690.49, 17,496.10 and 10,413.49

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Solution

The fourth proportional to 12,690.49, 17,496.10 and 10,413.49 is: 14,356.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,690.49 : 17,496.10 = 10,413.49 : x
  2. Step 2: Convert to fraction form
    12,690.49/17,496.10 = 10,413.49/x
  3. Step 3: Cross multiply
    12,690.49x = 17,496.10 × 10,413.49
  4. Step 4: Simplify right side
    12,690.49x = 182,195,462.39
  5. Step 5: Solve for x
    x = 182,195,462.39/12,690.49
  6. Step 6: Final answer
    x = 14,356.85

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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.