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Finding the Fourth Proportional to 22,182.35, 33,263.73 and 8,321.63

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Solution

The fourth proportional to 22,182.35, 33,263.73 and 8,321.63 is: 12,478.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,182.35 : 33,263.73 = 8,321.63 : x
  2. Step 2: Convert to fraction form
    22,182.35/33,263.73 = 8,321.63/x
  3. Step 3: Cross multiply
    22,182.35x = 33,263.73 × 8,321.63
  4. Step 4: Simplify right side
    22,182.35x = 276,808,287.16
  5. Step 5: Solve for x
    x = 276,808,287.16/22,182.35
  6. Step 6: Final answer
    x = 12,478.77

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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.