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Finding the Fourth Proportional to 12,696.40, 19,066.20 and 9,413.20

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Solution

The fourth proportional to 12,696.40, 19,066.20 and 9,413.20 is: 14,135.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696.40 : 19,066.20 = 9,413.20 : x
  2. Step 2: Convert to fraction form
    12,696.40/19,066.20 = 9,413.20/x
  3. Step 3: Cross multiply
    12,696.40x = 19,066.20 × 9,413.20
  4. Step 4: Simplify right side
    12,696.40x = 179,473,953.84
  5. Step 5: Solve for x
    x = 179,473,953.84/12,696.40
  6. Step 6: Final answer
    x = 14,135.81

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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.