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Finding the Fourth Proportional to 22,075.48, 33,102.81 and 8,025.64

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Solution

The fourth proportional to 22,075.48, 33,102.81 and 8,025.64 is: 12,034.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,075.48 : 33,102.81 = 8,025.64 : x
  2. Step 2: Convert to fraction form
    22,075.48/33,102.81 = 8,025.64/x
  3. Step 3: Cross multiply
    22,075.48x = 33,102.81 × 8,025.64
  4. Step 4: Simplify right side
    22,075.48x = 265,671,236.05
  5. Step 5: Solve for x
    x = 265,671,236.05/22,075.48
  6. Step 6: Final answer
    x = 12,034.68

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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.