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Finding the Fourth Proportional to 13,435.74, 20,150.37 and 4,201.74

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Solution

The fourth proportional to 13,435.74, 20,150.37 and 4,201.74 is: 6,301.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,435.74 : 20,150.37 = 4,201.74 : x
  2. Step 2: Convert to fraction form
    13,435.74/20,150.37 = 4,201.74/x
  3. Step 3: Cross multiply
    13,435.74x = 20,150.37 × 4,201.74
  4. Step 4: Simplify right side
    13,435.74x = 84,666,615.64
  5. Step 5: Solve for x
    x = 84,666,615.64/13,435.74
  6. Step 6: Final answer
    x = 6,301.60

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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.