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Finding the Fourth Proportional to 17,142.83, 25,714.28 and 6,046.91

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Solution

The fourth proportional to 17,142.83, 25,714.28 and 6,046.91 is: 9,070.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,142.83 : 25,714.28 = 6,046.91 : x
  2. Step 2: Convert to fraction form
    17,142.83/25,714.28 = 6,046.91/x
  3. Step 3: Cross multiply
    17,142.83x = 25,714.28 × 6,046.91
  4. Step 4: Simplify right side
    17,142.83x = 155,491,936.87
  5. Step 5: Solve for x
    x = 155,491,936.87/17,142.83
  6. Step 6: Final answer
    x = 9,070.38

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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.