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Finding the Fourth Proportional to 14,792.23, 20,413.11 and 8,078.14

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Solution

The fourth proportional to 14,792.23, 20,413.11 and 8,078.14 is: 11,147.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,792.23 : 20,413.11 = 8,078.14 : x
  2. Step 2: Convert to fraction form
    14,792.23/20,413.11 = 8,078.14/x
  3. Step 3: Cross multiply
    14,792.23x = 20,413.11 × 8,078.14
  4. Step 4: Simplify right side
    14,792.23x = 164,900,016.22
  5. Step 5: Solve for x
    x = 164,900,016.22/14,792.23
  6. Step 6: Final answer
    x = 11,147.74

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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.