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Finding the Fourth Proportional to 16,349.25, 24,524.10 and 4,662.47

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Solution

The fourth proportional to 16,349.25, 24,524.10 and 4,662.47 is: 6,993.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,349.25 : 24,524.10 = 4,662.47 : x
  2. Step 2: Convert to fraction form
    16,349.25/24,524.10 = 4,662.47/x
  3. Step 3: Cross multiply
    16,349.25x = 24,524.10 × 4,662.47
  4. Step 4: Simplify right side
    16,349.25x = 114,342,867.36
  5. Step 5: Solve for x
    x = 114,342,867.36/16,349.25
  6. Step 6: Final answer
    x = 6,993.77

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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.