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Finding the Fourth Proportional to 12,129.39, 18,192 and 3,364.32

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Solution

The fourth proportional to 12,129.39, 18,192 and 3,364.32 is: 5,045.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.39 : 18,192 = 3,364.32 : x
  2. Step 2: Convert to fraction form
    12,129.39/18,192 = 3,364.32/x
  3. Step 3: Cross multiply
    12,129.39x = 18,192 × 3,364.32
  4. Step 4: Simplify right side
    12,129.39x = 61,203,709.44
  5. Step 5: Solve for x
    x = 61,203,709.44/12,129.39
  6. Step 6: Final answer
    x = 5,045.90

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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.