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Finding the Fourth Proportional to 18,905.70, 26,125.83 and 14,181.78

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Solution

The fourth proportional to 18,905.70, 26,125.83 and 14,181.78 is: 19,597.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,905.70 : 26,125.83 = 14,181.78 : x
  2. Step 2: Convert to fraction form
    18,905.70/26,125.83 = 14,181.78/x
  3. Step 3: Cross multiply
    18,905.70x = 26,125.83 × 14,181.78
  4. Step 4: Simplify right side
    18,905.70x = 370,510,773.38
  5. Step 5: Solve for x
    x = 370,510,773.38/18,905.70
  6. Step 6: Final answer
    x = 19,597.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.