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Finding the Fourth Proportional to 19,142.94, 28,714.41 and 5,995.38

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Solution

The fourth proportional to 19,142.94, 28,714.41 and 5,995.38 is: 8,993.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,142.94 : 28,714.41 = 5,995.38 : x
  2. Step 2: Convert to fraction form
    19,142.94/28,714.41 = 5,995.38/x
  3. Step 3: Cross multiply
    19,142.94x = 28,714.41 × 5,995.38
  4. Step 4: Simplify right side
    19,142.94x = 172,153,799.43
  5. Step 5: Solve for x
    x = 172,153,799.43/19,142.94
  6. Step 6: Final answer
    x = 8,993.07

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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.