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Finding the Fourth Proportional to 12,051.61, 18,077.31 and 3,286.51

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Solution

The fourth proportional to 12,051.61, 18,077.31 and 3,286.51 is: 4,929.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,051.61 : 18,077.31 = 3,286.51 : x
  2. Step 2: Convert to fraction form
    12,051.61/18,077.31 = 3,286.51/x
  3. Step 3: Cross multiply
    12,051.61x = 18,077.31 × 3,286.51
  4. Step 4: Simplify right side
    12,051.61x = 59,411,260.09
  5. Step 5: Solve for x
    x = 59,411,260.09/12,051.61
  6. Step 6: Final answer
    x = 4,929.74

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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.