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Finding the Fourth Proportional to 18,385.96, 27,559.74 and 9,013

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Solution

The fourth proportional to 18,385.96, 27,559.74 and 9,013 is: 13,510.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,385.96 : 27,559.74 = 9,013 : x
  2. Step 2: Convert to fraction form
    18,385.96/27,559.74 = 9,013/x
  3. Step 3: Cross multiply
    18,385.96x = 27,559.74 × 9,013
  4. Step 4: Simplify right side
    18,385.96x = 248,395,936.62
  5. Step 5: Solve for x
    x = 248,395,936.62/18,385.96
  6. Step 6: Final answer
    x = 13,510.09

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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.