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Finding the Fourth Proportional to 22,763.37, 31,413.74 and 13,203.66

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Solution

The fourth proportional to 22,763.37, 31,413.74 and 13,203.66 is: 18,221.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,763.37 : 31,413.74 = 13,203.66 : x
  2. Step 2: Convert to fraction form
    22,763.37/31,413.74 = 13,203.66/x
  3. Step 3: Cross multiply
    22,763.37x = 31,413.74 × 13,203.66
  4. Step 4: Simplify right side
    22,763.37x = 414,776,342.29
  5. Step 5: Solve for x
    x = 414,776,342.29/22,763.37
  6. Step 6: Final answer
    x = 18,221.22

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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.