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Finding the Fourth Proportional to 21,828.42, 30,123.18 and 11,892.42

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Solution

The fourth proportional to 21,828.42, 30,123.18 and 11,892.42 is: 16,411.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,828.42 : 30,123.18 = 11,892.42 : x
  2. Step 2: Convert to fraction form
    21,828.42/30,123.18 = 11,892.42/x
  3. Step 3: Cross multiply
    21,828.42x = 30,123.18 × 11,892.42
  4. Step 4: Simplify right side
    21,828.42x = 358,237,508.30
  5. Step 5: Solve for x
    x = 358,237,508.30/21,828.42
  6. Step 6: Final answer
    x = 16,411.52

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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.