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Finding the Fourth Proportional to 25,874.37, 38,821.14 and 11,094.84

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Solution

The fourth proportional to 25,874.37, 38,821.14 and 11,094.84 is: 16,646.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,874.37 : 38,821.14 = 11,094.84 : x
  2. Step 2: Convert to fraction form
    25,874.37/38,821.14 = 11,094.84/x
  3. Step 3: Cross multiply
    25,874.37x = 38,821.14 × 11,094.84
  4. Step 4: Simplify right side
    25,874.37x = 430,714,336.92
  5. Step 5: Solve for x
    x = 430,714,336.92/25,874.37
  6. Step 6: Final answer
    x = 16,646.37

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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.