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Finding the Fourth Proportional to 25,543.79, 35,249.46 and 14,213.71

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Solution

The fourth proportional to 25,543.79, 35,249.46 and 14,213.71 is: 19,614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,543.79 : 35,249.46 = 14,213.71 : x
  2. Step 2: Convert to fraction form
    25,543.79/35,249.46 = 14,213.71/x
  3. Step 3: Cross multiply
    25,543.79x = 35,249.46 × 14,213.71
  4. Step 4: Simplify right side
    25,543.79x = 501,025,425.85
  5. Step 5: Solve for x
    x = 501,025,425.85/25,543.79
  6. Step 6: Final answer
    x = 19,614.38

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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.