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Finding the Fourth Proportional to 21,123.84, 29,149.74 and 11,691.84

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Solution

The fourth proportional to 21,123.84, 29,149.74 and 11,691.84 is: 16,134.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,123.84 : 29,149.74 = 11,691.84 : x
  2. Step 2: Convert to fraction form
    21,123.84/29,149.74 = 11,691.84/x
  3. Step 3: Cross multiply
    21,123.84x = 29,149.74 × 11,691.84
  4. Step 4: Simplify right side
    21,123.84x = 340,814,096.12
  5. Step 5: Solve for x
    x = 340,814,096.12/21,123.84
  6. Step 6: Final answer
    x = 16,134.10

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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.