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Finding the Fourth Proportional to 22,130.49, 33,195.74 and 8,276.25

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Solution

The fourth proportional to 22,130.49, 33,195.74 and 8,276.25 is: 12,414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,130.49 : 33,195.74 = 8,276.25 : x
  2. Step 2: Convert to fraction form
    22,130.49/33,195.74 = 8,276.25/x
  3. Step 3: Cross multiply
    22,130.49x = 33,195.74 × 8,276.25
  4. Step 4: Simplify right side
    22,130.49x = 274,736,201.79
  5. Step 5: Solve for x
    x = 274,736,201.79/22,130.49
  6. Step 6: Final answer
    x = 12,414.38

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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.