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Finding the Fourth Proportional to 21,828.24, 30,123.24 and 11,892.24

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Solution

The fourth proportional to 21,828.24, 30,123.24 and 11,892.24 is: 16,411.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,828.24 : 30,123.24 = 11,892.24 : x
  2. Step 2: Convert to fraction form
    21,828.24/30,123.24 = 11,892.24/x
  3. Step 3: Cross multiply
    21,828.24x = 30,123.24 × 11,892.24
  4. Step 4: Simplify right side
    21,828.24x = 358,232,799.66
  5. Step 5: Solve for x
    x = 358,232,799.66/21,828.24
  6. Step 6: Final answer
    x = 16,411.44

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