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Finding the Fourth Proportional to 14,285.44, 19,714.72 and 7,997.76

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Solution

The fourth proportional to 14,285.44, 19,714.72 and 7,997.76 is: 11,037.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,285.44 : 19,714.72 = 7,997.76 : x
  2. Step 2: Convert to fraction form
    14,285.44/19,714.72 = 7,997.76/x
  3. Step 3: Cross multiply
    14,285.44x = 19,714.72 × 7,997.76
  4. Step 4: Simplify right side
    14,285.44x = 157,673,599.03
  5. Step 5: Solve for x
    x = 157,673,599.03/14,285.44
  6. Step 6: Final answer
    x = 11,037.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.