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Finding the Fourth Proportional to 13,375.60, 20,075.73 and 6,806.50

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Solution

The fourth proportional to 13,375.60, 20,075.73 and 6,806.50 is: 10,216.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,375.60 : 20,075.73 = 6,806.50 : x
  2. Step 2: Convert to fraction form
    13,375.60/20,075.73 = 6,806.50/x
  3. Step 3: Cross multiply
    13,375.60x = 20,075.73 × 6,806.50
  4. Step 4: Simplify right side
    13,375.60x = 136,645,456.25
  5. Step 5: Solve for x
    x = 136,645,456.25/13,375.60
  6. Step 6: Final answer
    x = 10,216.02

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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.