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Finding the Fourth Proportional to 21,828.40, 30,123.23 and 12,396.96

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Solution

The fourth proportional to 21,828.40, 30,123.23 and 12,396.96 is: 17,107.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,828.40 : 30,123.23 = 12,396.96 : x
  2. Step 2: Convert to fraction form
    21,828.40/30,123.23 = 12,396.96/x
  3. Step 3: Cross multiply
    21,828.40x = 30,123.23 × 12,396.96
  4. Step 4: Simplify right side
    21,828.40x = 373,436,477.38
  5. Step 5: Solve for x
    x = 373,436,477.38/21,828.40
  6. Step 6: Final answer
    x = 17,107.83

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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.