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Finding the Fourth Proportional to 14,524.96, 20,044.56 and 7,900.96

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Solution

The fourth proportional to 14,524.96, 20,044.56 and 7,900.96 is: 10,903.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,524.96 : 20,044.56 = 7,900.96 : x
  2. Step 2: Convert to fraction form
    14,524.96/20,044.56 = 7,900.96/x
  3. Step 3: Cross multiply
    14,524.96x = 20,044.56 × 7,900.96
  4. Step 4: Simplify right side
    14,524.96x = 158,371,266.78
  5. Step 5: Solve for x
    x = 158,371,266.78/14,524.96
  6. Step 6: Final answer
    x = 10,903.39

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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.