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Finding the Fourth Proportional to 25,897.88, 38,838.60 and 11,102.84

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Solution

The fourth proportional to 25,897.88, 38,838.60 and 11,102.84 is: 16,650.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,897.88 : 38,838.60 = 11,102.84 : x
  2. Step 2: Convert to fraction form
    25,897.88/38,838.60 = 11,102.84/x
  3. Step 3: Cross multiply
    25,897.88x = 38,838.60 × 11,102.84
  4. Step 4: Simplify right side
    25,897.88x = 431,218,761.62
  5. Step 5: Solve for x
    x = 431,218,761.62/25,897.88
  6. Step 6: Final answer
    x = 16,650.74

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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.