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Finding the Fourth Proportional to 14,514.85, 20,011.95 and 9,401.33

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Solution

The fourth proportional to 14,514.85, 20,011.95 and 9,401.33 is: 12,961.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,514.85 : 20,011.95 = 9,401.33 : x
  2. Step 2: Convert to fraction form
    14,514.85/20,011.95 = 9,401.33/x
  3. Step 3: Cross multiply
    14,514.85x = 20,011.95 × 9,401.33
  4. Step 4: Simplify right side
    14,514.85x = 188,138,945.89
  5. Step 5: Solve for x
    x = 188,138,945.89/14,514.85
  6. Step 6: Final answer
    x = 12,961.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.