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Finding the Fourth Proportional to 27,854.44, 38,413.02 and 22,207.96

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Solution

The fourth proportional to 27,854.44, 38,413.02 and 22,207.96 is: 30,626.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,854.44 : 38,413.02 = 22,207.96 : x
  2. Step 2: Convert to fraction form
    27,854.44/38,413.02 = 22,207.96/x
  3. Step 3: Cross multiply
    27,854.44x = 38,413.02 × 22,207.96
  4. Step 4: Simplify right side
    27,854.44x = 853,074,811.64
  5. Step 5: Solve for x
    x = 853,074,811.64/27,854.44
  6. Step 6: Final answer
    x = 30,626.17

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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.