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Finding the Fourth Proportional to 22,243.71, 33,368.51 and 8,213.60

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Solution

The fourth proportional to 22,243.71, 33,368.51 and 8,213.60 is: 12,321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,243.71 : 33,368.51 = 8,213.60 : x
  2. Step 2: Convert to fraction form
    22,243.71/33,368.51 = 8,213.60/x
  3. Step 3: Cross multiply
    22,243.71x = 33,368.51 × 8,213.60
  4. Step 4: Simplify right side
    22,243.71x = 274,075,651.49
  5. Step 5: Solve for x
    x = 274,075,651.49/22,243.71
  6. Step 6: Final answer
    x = 12,321.49

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1.5x scale

Why These Related Problems?

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