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Finding the Fourth Proportional to 14,642.91, 21,976.92 and 5,883.84

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Solution

The fourth proportional to 14,642.91, 21,976.92 and 5,883.84 is: 8,830.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.91 : 21,976.92 = 5,883.84 : x
  2. Step 2: Convert to fraction form
    14,642.91/21,976.92 = 5,883.84/x
  3. Step 3: Cross multiply
    14,642.91x = 21,976.92 × 5,883.84
  4. Step 4: Simplify right side
    14,642.91x = 129,308,680.97
  5. Step 5: Solve for x
    x = 129,308,680.97/14,642.91
  6. Step 6: Final answer
    x = 8,830.80

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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.