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Finding the Fourth Proportional to 16,361.70, 24,546.80 and 4,675.83

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Solution

The fourth proportional to 16,361.70, 24,546.80 and 4,675.83 is: 7,014.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,361.70 : 24,546.80 = 4,675.83 : x
  2. Step 2: Convert to fraction form
    16,361.70/24,546.80 = 4,675.83/x
  3. Step 3: Cross multiply
    16,361.70x = 24,546.80 × 4,675.83
  4. Step 4: Simplify right side
    16,361.70x = 114,776,557.18
  5. Step 5: Solve for x
    x = 114,776,557.18/16,361.70
  6. Step 6: Final answer
    x = 7,014.95

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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.