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Finding the Fourth Proportional to 14,262.52, 19,682.30 and 7,976.36

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Solution

The fourth proportional to 14,262.52, 19,682.30 and 7,976.36 is: 11,007.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,262.52 : 19,682.30 = 7,976.36 : x
  2. Step 2: Convert to fraction form
    14,262.52/19,682.30 = 7,976.36/x
  3. Step 3: Cross multiply
    14,262.52x = 19,682.30 × 7,976.36
  4. Step 4: Simplify right side
    14,262.52x = 156,993,110.43
  5. Step 5: Solve for x
    x = 156,993,110.43/14,262.52
  6. Step 6: Final answer
    x = 11,007.39

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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.