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Finding the Fourth Proportional to 23,212.30, 34,823.44 and 7,413.62

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Solution

The fourth proportional to 23,212.30, 34,823.44 and 7,413.62 is: 11,122.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,212.30 : 34,823.44 = 7,413.62 : x
  2. Step 2: Convert to fraction form
    23,212.30/34,823.44 = 7,413.62/x
  3. Step 3: Cross multiply
    23,212.30x = 34,823.44 × 7,413.62
  4. Step 4: Simplify right side
    23,212.30x = 258,167,751.25
  5. Step 5: Solve for x
    x = 258,167,751.25/23,212.30
  6. Step 6: Final answer
    x = 11,122.02

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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.