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Finding the Fourth Proportional to 16,408.77, 24,607.89 and 7,046.25

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Solution

The fourth proportional to 16,408.77, 24,607.89 and 7,046.25 is: 10,567.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408.77 : 24,607.89 = 7,046.25 : x
  2. Step 2: Convert to fraction form
    16,408.77/24,607.89 = 7,046.25/x
  3. Step 3: Cross multiply
    16,408.77x = 24,607.89 × 7,046.25
  4. Step 4: Simplify right side
    16,408.77x = 173,393,344.91
  5. Step 5: Solve for x
    x = 173,393,344.91/16,408.77
  6. Step 6: Final answer
    x = 10,567.11

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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.