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Finding the Fourth Proportional to 21,808.21, 30,096.89 and 12,377.38

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Solution

The fourth proportional to 21,808.21, 30,096.89 and 12,377.38 is: 17,081.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,808.21 : 30,096.89 = 12,377.38 : x
  2. Step 2: Convert to fraction form
    21,808.21/30,096.89 = 12,377.38/x
  3. Step 3: Cross multiply
    21,808.21x = 30,096.89 × 12,377.38
  4. Step 4: Simplify right side
    21,808.21x = 372,520,644.35
  5. Step 5: Solve for x
    x = 372,520,644.35/21,808.21
  6. Step 6: Final answer
    x = 17,081.67

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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.