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Finding the Fourth Proportional to 14,163.60, 19,544 and 7,789.14

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Solution

The fourth proportional to 14,163.60, 19,544 and 7,789.14 is: 10,748.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,163.60 : 19,544 = 7,789.14 : x
  2. Step 2: Convert to fraction form
    14,163.60/19,544 = 7,789.14/x
  3. Step 3: Cross multiply
    14,163.60x = 19,544 × 7,789.14
  4. Step 4: Simplify right side
    14,163.60x = 152,230,952.16
  5. Step 5: Solve for x
    x = 152,230,952.16/14,163.60
  6. Step 6: Final answer
    x = 10,748.04

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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.