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Finding the Fourth Proportional to 27,142.36, 40,714.62 and 8,424.36

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Solution

The fourth proportional to 27,142.36, 40,714.62 and 8,424.36 is: 12,636.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,142.36 : 40,714.62 = 8,424.36 : x
  2. Step 2: Convert to fraction form
    27,142.36/40,714.62 = 8,424.36/x
  3. Step 3: Cross multiply
    27,142.36x = 40,714.62 × 8,424.36
  4. Step 4: Simplify right side
    27,142.36x = 342,994,616.14
  5. Step 5: Solve for x
    x = 342,994,616.14/27,142.36
  6. Step 6: Final answer
    x = 12,636.88

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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.