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Finding the Fourth Proportional to 14,606.33, 21,894.91 and 5,709.46

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Solution

The fourth proportional to 14,606.33, 21,894.91 and 5,709.46 is: 8,558.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,606.33 : 21,894.91 = 5,709.46 : x
  2. Step 2: Convert to fraction form
    14,606.33/21,894.91 = 5,709.46/x
  3. Step 3: Cross multiply
    14,606.33x = 21,894.91 × 5,709.46
  4. Step 4: Simplify right side
    14,606.33x = 125,008,112.85
  5. Step 5: Solve for x
    x = 125,008,112.85/14,606.33
  6. Step 6: Final answer
    x = 8,558.49

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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.