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Finding the Fourth Proportional to 13,652.06, 20,475.80 and 3,792.33

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Solution

The fourth proportional to 13,652.06, 20,475.80 and 3,792.33 is: 5,687.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,652.06 : 20,475.80 = 3,792.33 : x
  2. Step 2: Convert to fraction form
    13,652.06/20,475.80 = 3,792.33/x
  3. Step 3: Cross multiply
    13,652.06x = 20,475.80 × 3,792.33
  4. Step 4: Simplify right side
    13,652.06x = 77,650,971.65
  5. Step 5: Solve for x
    x = 77,650,971.65/13,652.06
  6. Step 6: Final answer
    x = 5,687.86

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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.