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Finding the Fourth Proportional to 16,349.69, 24,524.77 and 4,662.91

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Solution

The fourth proportional to 16,349.69, 24,524.77 and 4,662.91 is: 6,994.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,349.69 : 24,524.77 = 4,662.91 : x
  2. Step 2: Convert to fraction form
    16,349.69/24,524.77 = 4,662.91/x
  3. Step 3: Cross multiply
    16,349.69x = 24,524.77 × 4,662.91
  4. Step 4: Simplify right side
    16,349.69x = 114,356,710.65
  5. Step 5: Solve for x
    x = 114,356,710.65/16,349.69
  6. Step 6: Final answer
    x = 6,994.43

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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.