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Finding the Fourth Proportional to 14,163.46, 21,245.58 and 4,803.50

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Solution

The fourth proportional to 14,163.46, 21,245.58 and 4,803.50 is: 7,205.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,163.46 : 21,245.58 = 4,803.50 : x
  2. Step 2: Convert to fraction form
    14,163.46/21,245.58 = 4,803.50/x
  3. Step 3: Cross multiply
    14,163.46x = 21,245.58 × 4,803.50
  4. Step 4: Simplify right side
    14,163.46x = 102,053,143.53
  5. Step 5: Solve for x
    x = 102,053,143.53/14,163.46
  6. Step 6: Final answer
    x = 7,205.38

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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.