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Finding the Fourth Proportional to 14,543.01, 21,814.99 and 4,013.82

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Solution

The fourth proportional to 14,543.01, 21,814.99 and 4,013.82 is: 6,020.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,543.01 : 21,814.99 = 4,013.82 : x
  2. Step 2: Convert to fraction form
    14,543.01/21,814.99 = 4,013.82/x
  3. Step 3: Cross multiply
    14,543.01x = 21,814.99 × 4,013.82
  4. Step 4: Simplify right side
    14,543.01x = 87,561,433.13
  5. Step 5: Solve for x
    x = 87,561,433.13/14,543.01
  6. Step 6: Final answer
    x = 6,020.86

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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.