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Finding the Fourth Proportional to 21,674.38, 29,910.24 and 12,114.40

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Solution

The fourth proportional to 21,674.38, 29,910.24 and 12,114.40 is: 16,717.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,674.38 : 29,910.24 = 12,114.40 : x
  2. Step 2: Convert to fraction form
    21,674.38/29,910.24 = 12,114.40/x
  3. Step 3: Cross multiply
    21,674.38x = 29,910.24 × 12,114.40
  4. Step 4: Simplify right side
    21,674.38x = 362,344,611.46
  5. Step 5: Solve for x
    x = 362,344,611.46/21,674.38
  6. Step 6: Final answer
    x = 16,717.65

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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.