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Finding the Fourth Proportional to 13,735.20, 20,602.56 and 4,375.08

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Solution

The fourth proportional to 13,735.20, 20,602.56 and 4,375.08 is: 6,562.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.20 : 20,602.56 = 4,375.08 : x
  2. Step 2: Convert to fraction form
    13,735.20/20,602.56 = 4,375.08/x
  3. Step 3: Cross multiply
    13,735.20x = 20,602.56 × 4,375.08
  4. Step 4: Simplify right side
    13,735.20x = 90,137,848.20
  5. Step 5: Solve for x
    x = 90,137,848.20/13,735.20
  6. Step 6: Final answer
    x = 6,562.54

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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.