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Finding the Fourth Proportional to 22,900.98, 31,604.94 and 12,830.28

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Solution

The fourth proportional to 22,900.98, 31,604.94 and 12,830.28 is: 17,706.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,900.98 : 31,604.94 = 12,830.28 : x
  2. Step 2: Convert to fraction form
    22,900.98/31,604.94 = 12,830.28/x
  3. Step 3: Cross multiply
    22,900.98x = 31,604.94 × 12,830.28
  4. Step 4: Simplify right side
    22,900.98x = 405,500,229.58
  5. Step 5: Solve for x
    x = 405,500,229.58/22,900.98
  6. Step 6: Final answer
    x = 17,706.68

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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.