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Finding the Fourth Proportional to 17,006.40, 23,413.20 and 13,414.80

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Solution

The fourth proportional to 17,006.40, 23,413.20 and 13,414.80 is: 18,468.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,006.40 : 23,413.20 = 13,414.80 : x
  2. Step 2: Convert to fraction form
    17,006.40/23,413.20 = 13,414.80/x
  3. Step 3: Cross multiply
    17,006.40x = 23,413.20 × 13,414.80
  4. Step 4: Simplify right side
    17,006.40x = 314,083,395.36
  5. Step 5: Solve for x
    x = 314,083,395.36/17,006.40
  6. Step 6: Final answer
    x = 18,468.54

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1.5x scale

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.