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Finding the Fourth Proportional to 20,563.88, 30,845.75 and 8,075.17

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Solution

The fourth proportional to 20,563.88, 30,845.75 and 8,075.17 is: 12,112.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,563.88 : 30,845.75 = 8,075.17 : x
  2. Step 2: Convert to fraction form
    20,563.88/30,845.75 = 8,075.17/x
  3. Step 3: Cross multiply
    20,563.88x = 30,845.75 × 8,075.17
  4. Step 4: Simplify right side
    20,563.88x = 249,084,520.80
  5. Step 5: Solve for x
    x = 249,084,520.80/20,563.88
  6. Step 6: Final answer
    x = 12,112.72

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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.