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Finding the Fourth Proportional to 18,046, 27,045.24 and 7,644.88

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Solution

The fourth proportional to 18,046, 27,045.24 and 7,644.88 is: 11,457.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,046 : 27,045.24 = 7,644.88 : x
  2. Step 2: Convert to fraction form
    18,046/27,045.24 = 7,644.88/x
  3. Step 3: Cross multiply
    18,046x = 27,045.24 × 7,644.88
  4. Step 4: Simplify right side
    18,046x = 206,757,614.37
  5. Step 5: Solve for x
    x = 206,757,614.37/18,046
  6. Step 6: Final answer
    x = 11,457.25

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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.