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Finding the Fourth Proportional to 12,185.53, 18,279 and 3,421.12

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Solution

The fourth proportional to 12,185.53, 18,279 and 3,421.12 is: 5,131.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.53 : 18,279 = 3,421.12 : x
  2. Step 2: Convert to fraction form
    12,185.53/18,279 = 3,421.12/x
  3. Step 3: Cross multiply
    12,185.53x = 18,279 × 3,421.12
  4. Step 4: Simplify right side
    12,185.53x = 62,534,652.48
  5. Step 5: Solve for x
    x = 62,534,652.48/12,185.53
  6. Step 6: Final answer
    x = 5,131.88

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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.