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Finding the Fourth Proportional to 18,554.37, 27,832.87 and 7,461.11

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Solution

The fourth proportional to 18,554.37, 27,832.87 and 7,461.11 is: 11,192.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,554.37 : 27,832.87 = 7,461.11 : x
  2. Step 2: Convert to fraction form
    18,554.37/27,832.87 = 7,461.11/x
  3. Step 3: Cross multiply
    18,554.37x = 27,832.87 × 7,461.11
  4. Step 4: Simplify right side
    18,554.37x = 207,664,141.63
  5. Step 5: Solve for x
    x = 207,664,141.63/18,554.37
  6. Step 6: Final answer
    x = 11,192.20

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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.