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Finding the Fourth Proportional to 14,648.27, 20,216.60 and 8,982

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Solution

The fourth proportional to 14,648.27, 20,216.60 and 8,982 is: 12,396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,648.27 : 20,216.60 = 8,982 : x
  2. Step 2: Convert to fraction form
    14,648.27/20,216.60 = 8,982/x
  3. Step 3: Cross multiply
    14,648.27x = 20,216.60 × 8,982
  4. Step 4: Simplify right side
    14,648.27x = 181,585,456.29
  5. Step 5: Solve for x
    x = 181,585,456.29/14,648.27
  6. Step 6: Final answer
    x = 12,396.38

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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.