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Finding the Fourth Proportional to 12,413.22, 18,620.01 and 3,648.30

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Solution

The fourth proportional to 12,413.22, 18,620.01 and 3,648.30 is: 5,472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.22 : 18,620.01 = 3,648.30 : x
  2. Step 2: Convert to fraction form
    12,413.22/18,620.01 = 3,648.30/x
  3. Step 3: Cross multiply
    12,413.22x = 18,620.01 × 3,648.30
  4. Step 4: Simplify right side
    12,413.22x = 67,931,382.48
  5. Step 5: Solve for x
    x = 67,931,382.48/12,413.22
  6. Step 6: Final answer
    x = 5,472.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.