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Finding the Fourth Proportional to 14,983.74, 20,676.48 and 8,269.38

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Solution

The fourth proportional to 14,983.74, 20,676.48 and 8,269.38 is: 11,411.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,983.74 : 20,676.48 = 8,269.38 : x
  2. Step 2: Convert to fraction form
    14,983.74/20,676.48 = 8,269.38/x
  3. Step 3: Cross multiply
    14,983.74x = 20,676.48 × 8,269.38
  4. Step 4: Simplify right side
    14,983.74x = 170,981,670.18
  5. Step 5: Solve for x
    x = 170,981,670.18/14,983.74
  6. Step 6: Final answer
    x = 11,411.15

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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.