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Finding the Fourth Proportional to 12,275.38, 18,413.07 and 3,041.38

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Solution

The fourth proportional to 12,275.38, 18,413.07 and 3,041.38 is: 4,562.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,275.38 : 18,413.07 = 3,041.38 : x
  2. Step 2: Convert to fraction form
    12,275.38/18,413.07 = 3,041.38/x
  3. Step 3: Cross multiply
    12,275.38x = 18,413.07 × 3,041.38
  4. Step 4: Simplify right side
    12,275.38x = 56,001,035.56
  5. Step 5: Solve for x
    x = 56,001,035.56/12,275.38
  6. Step 6: Final answer
    x = 4,562.06

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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.