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Finding the Fourth Proportional to 21,477.70, 29,639.38 and 11,917.62

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Solution

The fourth proportional to 21,477.70, 29,639.38 and 11,917.62 is: 16,446.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,477.70 : 29,639.38 = 11,917.62 : x
  2. Step 2: Convert to fraction form
    21,477.70/29,639.38 = 11,917.62/x
  3. Step 3: Cross multiply
    21,477.70x = 29,639.38 × 11,917.62
  4. Step 4: Simplify right side
    21,477.70x = 353,230,977.31
  5. Step 5: Solve for x
    x = 353,230,977.31/21,477.70
  6. Step 6: Final answer
    x = 16,446.41

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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.