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Finding the Fourth Proportional to 25,514.64, 38,245.64 and 18,476.96

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Solution

The fourth proportional to 25,514.64, 38,245.64 and 18,476.96 is: 27,696.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,514.64 : 38,245.64 = 18,476.96 : x
  2. Step 2: Convert to fraction form
    25,514.64/38,245.64 = 18,476.96/x
  3. Step 3: Cross multiply
    25,514.64x = 38,245.64 × 18,476.96
  4. Step 4: Simplify right side
    25,514.64x = 706,662,876.84
  5. Step 5: Solve for x
    x = 706,662,876.84/25,514.64
  6. Step 6: Final answer
    x = 27,696.37

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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.