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Finding the Fourth Proportional to 22,295.18, 30,767.70 and 13,343.06

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Solution

The fourth proportional to 22,295.18, 30,767.70 and 13,343.06 is: 18,413.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,295.18 : 30,767.70 = 13,343.06 : x
  2. Step 2: Convert to fraction form
    22,295.18/30,767.70 = 13,343.06/x
  3. Step 3: Cross multiply
    22,295.18x = 30,767.70 × 13,343.06
  4. Step 4: Simplify right side
    22,295.18x = 410,535,319.06
  5. Step 5: Solve for x
    x = 410,535,319.06/22,295.18
  6. Step 6: Final answer
    x = 18,413.63

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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.