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Finding the Fourth Proportional to 16,262.22, 24,408.45 and 6,408.30

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Solution

The fourth proportional to 16,262.22, 24,408.45 and 6,408.30 is: 9,618.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,262.22 : 24,408.45 = 6,408.30 : x
  2. Step 2: Convert to fraction form
    16,262.22/24,408.45 = 6,408.30/x
  3. Step 3: Cross multiply
    16,262.22x = 24,408.45 × 6,408.30
  4. Step 4: Simplify right side
    16,262.22x = 156,416,670.14
  5. Step 5: Solve for x
    x = 156,416,670.14/16,262.22
  6. Step 6: Final answer
    x = 9,618.41

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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.