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Finding the Fourth Proportional to 22,283.28, 33,389.76 and 8,223.96

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Solution

The fourth proportional to 22,283.28, 33,389.76 and 8,223.96 is: 12,322.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,283.28 : 33,389.76 = 8,223.96 : x
  2. Step 2: Convert to fraction form
    22,283.28/33,389.76 = 8,223.96/x
  3. Step 3: Cross multiply
    22,283.28x = 33,389.76 × 8,223.96
  4. Step 4: Simplify right side
    22,283.28x = 274,596,050.65
  5. Step 5: Solve for x
    x = 274,596,050.65/22,283.28
  6. Step 6: Final answer
    x = 12,322.96

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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.