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Finding the Fourth Proportional to 25,852.86, 38,747.93 and 11,793.62

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Solution

The fourth proportional to 25,852.86, 38,747.93 and 11,793.62 is: 17,676.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,852.86 : 38,747.93 = 11,793.62 : x
  2. Step 2: Convert to fraction form
    25,852.86/38,747.93 = 11,793.62/x
  3. Step 3: Cross multiply
    25,852.86x = 38,747.93 × 11,793.62
  4. Step 4: Simplify right side
    25,852.86x = 456,978,109.50
  5. Step 5: Solve for x
    x = 456,978,109.50/25,852.86
  6. Step 6: Final answer
    x = 17,676.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.