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Finding the Fourth Proportional to 13,648.38, 18,830.05 and 8,272.54

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Solution

The fourth proportional to 13,648.38, 18,830.05 and 8,272.54 is: 11,413.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.38 : 18,830.05 = 8,272.54 : x
  2. Step 2: Convert to fraction form
    13,648.38/18,830.05 = 8,272.54/x
  3. Step 3: Cross multiply
    13,648.38x = 18,830.05 × 8,272.54
  4. Step 4: Simplify right side
    13,648.38x = 155,772,391.22
  5. Step 5: Solve for x
    x = 155,772,391.22/13,648.38
  6. Step 6: Final answer
    x = 11,413.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.