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Finding the Fourth Proportional to 14,163.65, 19,546.07 and 7,790.77

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Solution

The fourth proportional to 14,163.65, 19,546.07 and 7,790.77 is: 10,751.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,163.65 : 19,546.07 = 7,790.77 : x
  2. Step 2: Convert to fraction form
    14,163.65/19,546.07 = 7,790.77/x
  3. Step 3: Cross multiply
    14,163.65x = 19,546.07 × 7,790.77
  4. Step 4: Simplify right side
    14,163.65x = 152,278,935.77
  5. Step 5: Solve for x
    x = 152,278,935.77/14,163.65
  6. Step 6: Final answer
    x = 10,751.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.