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Finding the Fourth Proportional to 16,464.09, 24,696.72 and 4,778.22

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Solution

The fourth proportional to 16,464.09, 24,696.72 and 4,778.22 is: 7,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,464.09 : 24,696.72 = 4,778.22 : x
  2. Step 2: Convert to fraction form
    16,464.09/24,696.72 = 4,778.22/x
  3. Step 3: Cross multiply
    16,464.09x = 24,696.72 × 4,778.22
  4. Step 4: Simplify right side
    16,464.09x = 118,006,361.44
  5. Step 5: Solve for x
    x = 118,006,361.44/16,464.09
  6. Step 6: Final answer
    x = 7,167.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.