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Finding the Fourth Proportional to 21,176.46, 29,224.44 and 11,745

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Solution

The fourth proportional to 21,176.46, 29,224.44 and 11,745 is: 16,208.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,176.46 : 29,224.44 = 11,745 : x
  2. Step 2: Convert to fraction form
    21,176.46/29,224.44 = 11,745/x
  3. Step 3: Cross multiply
    21,176.46x = 29,224.44 × 11,745
  4. Step 4: Simplify right side
    21,176.46x = 343,241,047.80
  5. Step 5: Solve for x
    x = 343,241,047.80/21,176.46
  6. Step 6: Final answer
    x = 16,208.61

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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.