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Finding the Fourth Proportional to 19,714.20, 29,583.58 and 8,027.38

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Solution

The fourth proportional to 19,714.20, 29,583.58 and 8,027.38 is: 12,046.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,714.20 : 29,583.58 = 8,027.38 : x
  2. Step 2: Convert to fraction form
    19,714.20/29,583.58 = 8,027.38/x
  3. Step 3: Cross multiply
    19,714.20x = 29,583.58 × 8,027.38
  4. Step 4: Simplify right side
    19,714.20x = 237,478,638.42
  5. Step 5: Solve for x
    x = 237,478,638.42/19,714.20
  6. Step 6: Final answer
    x = 12,046.07

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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.