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Finding the Fourth Proportional to 19,302.27, 28,949.95 and 10,413.46

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Solution

The fourth proportional to 19,302.27, 28,949.95 and 10,413.46 is: 15,618.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,302.27 : 28,949.95 = 10,413.46 : x
  2. Step 2: Convert to fraction form
    19,302.27/28,949.95 = 10,413.46/x
  3. Step 3: Cross multiply
    19,302.27x = 28,949.95 × 10,413.46
  4. Step 4: Simplify right side
    19,302.27x = 301,469,146.33
  5. Step 5: Solve for x
    x = 301,469,146.33/19,302.27
  6. Step 6: Final answer
    x = 15,618.33

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1.5x scale

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.