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Finding the Fourth Proportional to 14,052.69, 21,079.02 and 4,198.88

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Solution

The fourth proportional to 14,052.69, 21,079.02 and 4,198.88 is: 6,298.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,052.69 : 21,079.02 = 4,198.88 : x
  2. Step 2: Convert to fraction form
    14,052.69/21,079.02 = 4,198.88/x
  3. Step 3: Cross multiply
    14,052.69x = 21,079.02 × 4,198.88
  4. Step 4: Simplify right side
    14,052.69x = 88,508,170.10
  5. Step 5: Solve for x
    x = 88,508,170.10/14,052.69
  6. Step 6: Final answer
    x = 6,298.31

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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.