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Finding the Fourth Proportional to 12,942, 19,413.36 and 4,177.80

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Solution

The fourth proportional to 12,942, 19,413.36 and 4,177.80 is: 6,266.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,942 : 19,413.36 = 4,177.80 : x
  2. Step 2: Convert to fraction form
    12,942/19,413.36 = 4,177.80/x
  3. Step 3: Cross multiply
    12,942x = 19,413.36 × 4,177.80
  4. Step 4: Simplify right side
    12,942x = 81,105,135.41
  5. Step 5: Solve for x
    x = 81,105,135.41/12,942
  6. Step 6: Final answer
    x = 6,266.82

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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.