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Finding the Fourth Proportional to 13,752.78, 18,974.49 and 8,085.72

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Solution

The fourth proportional to 13,752.78, 18,974.49 and 8,085.72 is: 11,155.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,752.78 : 18,974.49 = 8,085.72 : x
  2. Step 2: Convert to fraction form
    13,752.78/18,974.49 = 8,085.72/x
  3. Step 3: Cross multiply
    13,752.78x = 18,974.49 × 8,085.72
  4. Step 4: Simplify right side
    13,752.78x = 153,422,413.28
  5. Step 5: Solve for x
    x = 153,422,413.28/13,752.78
  6. Step 6: Final answer
    x = 11,155.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.