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Finding the Fourth Proportional to 14,520.16, 20,044.46 and 11,161.80

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Solution

The fourth proportional to 14,520.16, 20,044.46 and 11,161.80 is: 15,408.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,520.16 : 20,044.46 = 11,161.80 : x
  2. Step 2: Convert to fraction form
    14,520.16/20,044.46 = 11,161.80/x
  3. Step 3: Cross multiply
    14,520.16x = 20,044.46 × 11,161.80
  4. Step 4: Simplify right side
    14,520.16x = 223,732,281.53
  5. Step 5: Solve for x
    x = 223,732,281.53/14,520.16
  6. Step 6: Final answer
    x = 15,408.39

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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.