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Finding the Fourth Proportional to 13,435.75, 20,154.48 and 4,201.75

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Solution

The fourth proportional to 13,435.75, 20,154.48 and 4,201.75 is: 6,302.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,435.75 : 20,154.48 = 4,201.75 : x
  2. Step 2: Convert to fraction form
    13,435.75/20,154.48 = 4,201.75/x
  3. Step 3: Cross multiply
    13,435.75x = 20,154.48 × 4,201.75
  4. Step 4: Simplify right side
    13,435.75x = 84,684,086.34
  5. Step 5: Solve for x
    x = 84,684,086.34/13,435.75
  6. Step 6: Final answer
    x = 6,302.89

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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.