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Finding the Fourth Proportional to 12,033.84, 18,051.03 and 3,714.06

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Solution

The fourth proportional to 12,033.84, 18,051.03 and 3,714.06 is: 5,571.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,033.84 : 18,051.03 = 3,714.06 : x
  2. Step 2: Convert to fraction form
    12,033.84/18,051.03 = 3,714.06/x
  3. Step 3: Cross multiply
    12,033.84x = 18,051.03 × 3,714.06
  4. Step 4: Simplify right side
    12,033.84x = 67,042,608.48
  5. Step 5: Solve for x
    x = 67,042,608.48/12,033.84
  6. Step 6: Final answer
    x = 5,571.17

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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.