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Finding the Fourth Proportional to 14,717.98, 20,311.70 and 8,344.84

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Solution

The fourth proportional to 14,717.98, 20,311.70 and 8,344.84 is: 11,516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,717.98 : 20,311.70 = 8,344.84 : x
  2. Step 2: Convert to fraction form
    14,717.98/20,311.70 = 8,344.84/x
  3. Step 3: Cross multiply
    14,717.98x = 20,311.70 × 8,344.84
  4. Step 4: Simplify right side
    14,717.98x = 169,497,886.63
  5. Step 5: Solve for x
    x = 169,497,886.63/14,717.98
  6. Step 6: Final answer
    x = 11,516.38

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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.