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Finding the Fourth Proportional to 19,714.44, 29,549.76 and 8,021.28

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Solution

The fourth proportional to 19,714.44, 29,549.76 and 8,021.28 is: 12,023.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,714.44 : 29,549.76 = 8,021.28 : x
  2. Step 2: Convert to fraction form
    19,714.44/29,549.76 = 8,021.28/x
  3. Step 3: Cross multiply
    19,714.44x = 29,549.76 × 8,021.28
  4. Step 4: Simplify right side
    19,714.44x = 237,026,898.89
  5. Step 5: Solve for x
    x = 237,026,898.89/19,714.44
  6. Step 6: Final answer
    x = 12,023.01

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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.