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Finding the Fourth Proportional to 12,089.64, 18,137.97 and 4,299.06

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Solution

The fourth proportional to 12,089.64, 18,137.97 and 4,299.06 is: 6,449.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,089.64 : 18,137.97 = 4,299.06 : x
  2. Step 2: Convert to fraction form
    12,089.64/18,137.97 = 4,299.06/x
  3. Step 3: Cross multiply
    12,089.64x = 18,137.97 × 4,299.06
  4. Step 4: Simplify right side
    12,089.64x = 77,976,221.31
  5. Step 5: Solve for x
    x = 77,976,221.31/12,089.64
  6. Step 6: Final answer
    x = 6,449.84

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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.