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Finding the Fourth Proportional to 22,262.22, 33,406.29 and 8,412.30

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Solution

The fourth proportional to 22,262.22, 33,406.29 and 8,412.30 is: 12,623.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,262.22 : 33,406.29 = 8,412.30 : x
  2. Step 2: Convert to fraction form
    22,262.22/33,406.29 = 8,412.30/x
  3. Step 3: Cross multiply
    22,262.22x = 33,406.29 × 8,412.30
  4. Step 4: Simplify right side
    22,262.22x = 281,023,733.37
  5. Step 5: Solve for x
    x = 281,023,733.37/22,262.22
  6. Step 6: Final answer
    x = 12,623.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.