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Finding the Fourth Proportional to 12,029.39, 18,039.98 and 6,104.00

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Solution

The fourth proportional to 12,029.39, 18,039.98 and 6,104.00 is: 9,153.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,029.39 : 18,039.98 = 6,104.00 : x
  2. Step 2: Convert to fraction form
    12,029.39/18,039.98 = 6,104.00/x
  3. Step 3: Cross multiply
    12,029.39x = 18,039.98 × 6,104.00
  4. Step 4: Simplify right side
    12,029.39x = 110,115,996.81
  5. Step 5: Solve for x
    x = 110,115,996.81/12,029.39
  6. Step 6: Final answer
    x = 9,153.91

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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.