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Finding the Fourth Proportional to 12,272.34, 18,408.59 and 5,246.43

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Solution

The fourth proportional to 12,272.34, 18,408.59 and 5,246.43 is: 7,869.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,272.34 : 18,408.59 = 5,246.43 : x
  2. Step 2: Convert to fraction form
    12,272.34/18,408.59 = 5,246.43/x
  3. Step 3: Cross multiply
    12,272.34x = 18,408.59 × 5,246.43
  4. Step 4: Simplify right side
    12,272.34x = 96,579,352.60
  5. Step 5: Solve for x
    x = 96,579,352.60/12,272.34
  6. Step 6: Final answer
    x = 7,869.68

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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.