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Finding the Fourth Proportional to 12,413.80, 18,625.02 and 11,532.52

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Solution

The fourth proportional to 12,413.80, 18,625.02 and 11,532.52 is: 17,302.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.80 : 18,625.02 = 11,532.52 : x
  2. Step 2: Convert to fraction form
    12,413.80/18,625.02 = 11,532.52/x
  3. Step 3: Cross multiply
    12,413.80x = 18,625.02 × 11,532.52
  4. Step 4: Simplify right side
    12,413.80x = 214,793,415.65
  5. Step 5: Solve for x
    x = 214,793,415.65/12,413.80
  6. Step 6: Final answer
    x = 17,302.79

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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.