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Finding the Fourth Proportional to 14,616.06, 21,930.21 and 6,297.90

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Solution

The fourth proportional to 14,616.06, 21,930.21 and 6,297.90 is: 9,449.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,616.06 : 21,930.21 = 6,297.90 : x
  2. Step 2: Convert to fraction form
    14,616.06/21,930.21 = 6,297.90/x
  3. Step 3: Cross multiply
    14,616.06x = 21,930.21 × 6,297.90
  4. Step 4: Simplify right side
    14,616.06x = 138,114,269.56
  5. Step 5: Solve for x
    x = 138,114,269.56/14,616.06
  6. Step 6: Final answer
    x = 9,449.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.