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Finding the Fourth Proportional to 12,034.29, 18,051.93 and 3,714.39

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Solution

The fourth proportional to 12,034.29, 18,051.93 and 3,714.39 is: 5,571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,034.29 : 18,051.93 = 3,714.39 : x
  2. Step 2: Convert to fraction form
    12,034.29/18,051.93 = 3,714.39/x
  3. Step 3: Cross multiply
    12,034.29x = 18,051.93 × 3,714.39
  4. Step 4: Simplify right side
    12,034.29x = 67,051,908.27
  5. Step 5: Solve for x
    x = 67,051,908.27/12,034.29
  6. Step 6: Final answer
    x = 5,571.74

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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.