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Finding the Fourth Proportional to 21,674.31, 29,906.66 and 12,114.39

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Solution

The fourth proportional to 21,674.31, 29,906.66 and 12,114.39 is: 16,715.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,674.31 : 29,906.66 = 12,114.39 : x
  2. Step 2: Convert to fraction form
    21,674.31/29,906.66 = 12,114.39/x
  3. Step 3: Cross multiply
    21,674.31x = 29,906.66 × 12,114.39
  4. Step 4: Simplify right side
    21,674.31x = 362,300,747.76
  5. Step 5: Solve for x
    x = 362,300,747.76/21,674.31
  6. Step 6: Final answer
    x = 16,715.68

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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.