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Finding the Fourth Proportional to 19,961, 29,939.16 and 12,543.56

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Solution

The fourth proportional to 19,961, 29,939.16 and 12,543.56 is: 18,813.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,961 : 29,939.16 = 12,543.56 : x
  2. Step 2: Convert to fraction form
    19,961/29,939.16 = 12,543.56/x
  3. Step 3: Cross multiply
    19,961x = 29,939.16 × 12,543.56
  4. Step 4: Simplify right side
    19,961x = 375,543,649.81
  5. Step 5: Solve for x
    x = 375,543,649.81/19,961
  6. Step 6: Final answer
    x = 18,813.87

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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.