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Finding the Fourth Proportional to 12,177.78, 18,265.26 and 3,413.40

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Solution

The fourth proportional to 12,177.78, 18,265.26 and 3,413.40 is: 5,119.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.78 : 18,265.26 = 3,413.40 : x
  2. Step 2: Convert to fraction form
    12,177.78/18,265.26 = 3,413.40/x
  3. Step 3: Cross multiply
    12,177.78x = 18,265.26 × 3,413.40
  4. Step 4: Simplify right side
    12,177.78x = 62,346,638.48
  5. Step 5: Solve for x
    x = 62,346,638.48/12,177.78
  6. Step 6: Final answer
    x = 5,119.70

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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.