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Finding the Fourth Proportional to 14,216.20, 21,297.10 and 7,640.20

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Solution

The fourth proportional to 14,216.20, 21,297.10 and 7,640.20 is: 11,445.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,216.20 : 21,297.10 = 7,640.20 : x
  2. Step 2: Convert to fraction form
    14,216.20/21,297.10 = 7,640.20/x
  3. Step 3: Cross multiply
    14,216.20x = 21,297.10 × 7,640.20
  4. Step 4: Simplify right side
    14,216.20x = 162,714,103.42
  5. Step 5: Solve for x
    x = 162,714,103.42/14,216.20
  6. Step 6: Final answer
    x = 11,445.68

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