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Finding the Fourth Proportional to 21,105.96, 29,127.72 and 11,674.32

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Solution

The fourth proportional to 21,105.96, 29,127.72 and 11,674.32 is: 16,111.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,105.96 : 29,127.72 = 11,674.32 : x
  2. Step 2: Convert to fraction form
    21,105.96/29,127.72 = 11,674.32/x
  3. Step 3: Cross multiply
    21,105.96x = 29,127.72 × 11,674.32
  4. Step 4: Simplify right side
    21,105.96x = 340,046,324.15
  5. Step 5: Solve for x
    x = 340,046,324.15/21,105.96
  6. Step 6: Final answer
    x = 16,111.39

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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.