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Finding the Fourth Proportional to 20,075.85, 30,084.92 and 11,292.21

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Solution

The fourth proportional to 20,075.85, 30,084.92 and 11,292.21 is: 16,922.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,075.85 : 30,084.92 = 11,292.21 : x
  2. Step 2: Convert to fraction form
    20,075.85/30,084.92 = 11,292.21/x
  3. Step 3: Cross multiply
    20,075.85x = 30,084.92 × 11,292.21
  4. Step 4: Simplify right side
    20,075.85x = 339,725,220.36
  5. Step 5: Solve for x
    x = 339,725,220.36/20,075.85
  6. Step 6: Final answer
    x = 16,922.08

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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.