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Finding the Fourth Proportional to 15,825.01, 23,716.55 and 8,413.51

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Solution

The fourth proportional to 15,825.01, 23,716.55 and 8,413.51 is: 12,609.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,825.01 : 23,716.55 = 8,413.51 : x
  2. Step 2: Convert to fraction form
    15,825.01/23,716.55 = 8,413.51/x
  3. Step 3: Cross multiply
    15,825.01x = 23,716.55 × 8,413.51
  4. Step 4: Simplify right side
    15,825.01x = 199,539,392.33
  5. Step 5: Solve for x
    x = 199,539,392.33/15,825.01
  6. Step 6: Final answer
    x = 12,609.12

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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.