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Finding the Fourth Proportional to 27,602.44, 38,064.90 and 18,548.26

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Solution

The fourth proportional to 27,602.44, 38,064.90 and 18,548.26 is: 25,578.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,602.44 : 38,064.90 = 18,548.26 : x
  2. Step 2: Convert to fraction form
    27,602.44/38,064.90 = 18,548.26/x
  3. Step 3: Cross multiply
    27,602.44x = 38,064.90 × 18,548.26
  4. Step 4: Simplify right side
    27,602.44x = 706,037,662.07
  5. Step 5: Solve for x
    x = 706,037,662.07/27,602.44
  6. Step 6: Final answer
    x = 25,578.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.