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Finding the Fourth Proportional to 27,622.46, 41,425.46 and 9,849.98

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Solution

The fourth proportional to 27,622.46, 41,425.46 and 9,849.98 is: 14,772.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,622.46 : 41,425.46 = 9,849.98 : x
  2. Step 2: Convert to fraction form
    27,622.46/41,425.46 = 9,849.98/x
  3. Step 3: Cross multiply
    27,622.46x = 41,425.46 × 9,849.98
  4. Step 4: Simplify right side
    27,622.46x = 408,039,903.24
  5. Step 5: Solve for x
    x = 408,039,903.24/27,622.46
  6. Step 6: Final answer
    x = 14,772.03

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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.