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Finding the Fourth Proportional to 12,129.08, 18,193.62 and 3,364.00

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Solution

The fourth proportional to 12,129.08, 18,193.62 and 3,364.00 is: 5,046.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.08 : 18,193.62 = 3,364.00 : x
  2. Step 2: Convert to fraction form
    12,129.08/18,193.62 = 3,364.00/x
  3. Step 3: Cross multiply
    12,129.08x = 18,193.62 × 3,364.00
  4. Step 4: Simplify right side
    12,129.08x = 61,203,298.50
  5. Step 5: Solve for x
    x = 61,203,298.50/12,129.08
  6. Step 6: Final answer
    x = 5,046.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.