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Finding the Fourth Proportional to 12,447.34, 18,674 and 3,562.80

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Solution

The fourth proportional to 12,447.34, 18,674 and 3,562.80 is: 5,345.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,447.34 : 18,674 = 3,562.80 : x
  2. Step 2: Convert to fraction form
    12,447.34/18,674 = 3,562.80/x
  3. Step 3: Cross multiply
    12,447.34x = 18,674 × 3,562.80
  4. Step 4: Simplify right side
    12,447.34x = 66,531,727.20
  5. Step 5: Solve for x
    x = 66,531,727.20/12,447.34
  6. Step 6: Final answer
    x = 5,345.06

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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.