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Finding the Fourth Proportional to 18,661.72, 25,733.42 and 14,413.46

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Solution

The fourth proportional to 18,661.72, 25,733.42 and 14,413.46 is: 19,875.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,661.72 : 25,733.42 = 14,413.46 : x
  2. Step 2: Convert to fraction form
    18,661.72/25,733.42 = 14,413.46/x
  3. Step 3: Cross multiply
    18,661.72x = 25,733.42 × 14,413.46
  4. Step 4: Simplify right side
    18,661.72x = 370,907,619.83
  5. Step 5: Solve for x
    x = 370,907,619.83/18,661.72
  6. Step 6: Final answer
    x = 19,875.32

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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.