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Finding the Fourth Proportional to 25,877.88, 38,783.22 and 11,635.88

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Solution

The fourth proportional to 25,877.88, 38,783.22 and 11,635.88 is: 17,438.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,877.88 : 38,783.22 = 11,635.88 : x
  2. Step 2: Convert to fraction form
    25,877.88/38,783.22 = 11,635.88/x
  3. Step 3: Cross multiply
    25,877.88x = 38,783.22 × 11,635.88
  4. Step 4: Simplify right side
    25,877.88x = 451,276,893.93
  5. Step 5: Solve for x
    x = 451,276,893.93/25,877.88
  6. Step 6: Final answer
    x = 17,438.71

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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.