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Finding the Fourth Proportional to 27,626.79, 38,129.54 and 16,299.06

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Solution

The fourth proportional to 27,626.79, 38,129.54 and 16,299.06 is: 22,495.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,626.79 : 38,129.54 = 16,299.06 : x
  2. Step 2: Convert to fraction form
    27,626.79/38,129.54 = 16,299.06/x
  3. Step 3: Cross multiply
    27,626.79x = 38,129.54 × 16,299.06
  4. Step 4: Simplify right side
    27,626.79x = 621,475,469.58
  5. Step 5: Solve for x
    x = 621,475,469.58/27,626.79
  6. Step 6: Final answer
    x = 22,495.39

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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.