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Finding the Fourth Proportional to 13,706.10, 20,546.79 and 4,934.88

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Solution

The fourth proportional to 13,706.10, 20,546.79 and 4,934.88 is: 7,397.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.10 : 20,546.79 = 4,934.88 : x
  2. Step 2: Convert to fraction form
    13,706.10/20,546.79 = 4,934.88/x
  3. Step 3: Cross multiply
    13,706.10x = 20,546.79 × 4,934.88
  4. Step 4: Simplify right side
    13,706.10x = 101,395,943.04
  5. Step 5: Solve for x
    x = 101,395,943.04/13,706.10
  6. Step 6: Final answer
    x = 7,397.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.