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Finding the Fourth Proportional to 13,535.88, 20,305.72 and 4,176.65

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Solution

The fourth proportional to 13,535.88, 20,305.72 and 4,176.65 is: 6,265.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,535.88 : 20,305.72 = 4,176.65 : x
  2. Step 2: Convert to fraction form
    13,535.88/20,305.72 = 4,176.65/x
  3. Step 3: Cross multiply
    13,535.88x = 20,305.72 × 4,176.65
  4. Step 4: Simplify right side
    13,535.88x = 84,809,885.44
  5. Step 5: Solve for x
    x = 84,809,885.44/13,535.88
  6. Step 6: Final answer
    x = 6,265.56

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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.