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Finding the Fourth Proportional to 14,658.93, 21,976.04 and 9,965.79

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Solution

The fourth proportional to 14,658.93, 21,976.04 and 9,965.79 is: 14,940.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,658.93 : 21,976.04 = 9,965.79 : x
  2. Step 2: Convert to fraction form
    14,658.93/21,976.04 = 9,965.79/x
  3. Step 3: Cross multiply
    14,658.93x = 21,976.04 × 9,965.79
  4. Step 4: Simplify right side
    14,658.93x = 219,008,624.59
  5. Step 5: Solve for x
    x = 219,008,624.59/14,658.93
  6. Step 6: Final answer
    x = 14,940.29

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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.