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Finding the Fourth Proportional to 22,794.36, 31,431.42 and 14,821.80

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Solution

The fourth proportional to 22,794.36, 31,431.42 and 14,821.80 is: 20,437.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,794.36 : 31,431.42 = 14,821.80 : x
  2. Step 2: Convert to fraction form
    22,794.36/31,431.42 = 14,821.80/x
  3. Step 3: Cross multiply
    22,794.36x = 31,431.42 × 14,821.80
  4. Step 4: Simplify right side
    22,794.36x = 465,870,220.96
  5. Step 5: Solve for x
    x = 465,870,220.96/22,794.36
  6. Step 6: Final answer
    x = 20,437.96

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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.