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Finding the Fourth Proportional to 14,606.52, 21,910.30 and 5,721.56

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Solution

The fourth proportional to 14,606.52, 21,910.30 and 5,721.56 is: 8,582.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,606.52 : 21,910.30 = 5,721.56 : x
  2. Step 2: Convert to fraction form
    14,606.52/21,910.30 = 5,721.56/x
  3. Step 3: Cross multiply
    14,606.52x = 21,910.30 × 5,721.56
  4. Step 4: Simplify right side
    14,606.52x = 125,361,096.07
  5. Step 5: Solve for x
    x = 125,361,096.07/14,606.52
  6. Step 6: Final answer
    x = 8,582.54

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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.