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Finding the Fourth Proportional to 16,333.42, 24,500.94 and 4,647.46

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Solution

The fourth proportional to 16,333.42, 24,500.94 and 4,647.46 is: 6,971.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,333.42 : 24,500.94 = 4,647.46 : x
  2. Step 2: Convert to fraction form
    16,333.42/24,500.94 = 4,647.46/x
  3. Step 3: Cross multiply
    16,333.42x = 24,500.94 × 4,647.46
  4. Step 4: Simplify right side
    16,333.42x = 113,867,138.61
  5. Step 5: Solve for x
    x = 113,867,138.61/16,333.42
  6. Step 6: Final answer
    x = 6,971.42

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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.