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Finding the Fourth Proportional to 14,014, 21,024.74 and 5,249.80

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Solution

The fourth proportional to 14,014, 21,024.74 and 5,249.80 is: 7,876.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,014 : 21,024.74 = 5,249.80 : x
  2. Step 2: Convert to fraction form
    14,014/21,024.74 = 5,249.80/x
  3. Step 3: Cross multiply
    14,014x = 21,024.74 × 5,249.80
  4. Step 4: Simplify right side
    14,014x = 110,375,680.05
  5. Step 5: Solve for x
    x = 110,375,680.05/14,014
  6. Step 6: Final answer
    x = 7,876.10

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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.