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Finding the Fourth Proportional to 18,408.70, 27,613.05 and 9,646.30

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Solution

The fourth proportional to 18,408.70, 27,613.05 and 9,646.30 is: 14,469.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,408.70 : 27,613.05 = 9,646.30 : x
  2. Step 2: Convert to fraction form
    18,408.70/27,613.05 = 9,646.30/x
  3. Step 3: Cross multiply
    18,408.70x = 27,613.05 × 9,646.30
  4. Step 4: Simplify right side
    18,408.70x = 266,363,764.22
  5. Step 5: Solve for x
    x = 266,363,764.22/18,408.70
  6. Step 6: Final answer
    x = 14,469.45

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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.