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Finding the Fourth Proportional to 14,792.19, 20,413.11 and 8,077.81

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Solution

The fourth proportional to 14,792.19, 20,413.11 and 8,077.81 is: 11,147.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,792.19 : 20,413.11 = 8,077.81 : x
  2. Step 2: Convert to fraction form
    14,792.19/20,413.11 = 8,077.81/x
  3. Step 3: Cross multiply
    14,792.19x = 20,413.11 × 8,077.81
  4. Step 4: Simplify right side
    14,792.19x = 164,893,224.09
  5. Step 5: Solve for x
    x = 164,893,224.09/14,792.19
  6. Step 6: Final answer
    x = 11,147.32

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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.