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Finding the Fourth Proportional to 19,493.20, 29,218.92 and 10,123.84

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Solution

The fourth proportional to 19,493.20, 29,218.92 and 10,123.84 is: 15,174.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,493.20 : 29,218.92 = 10,123.84 : x
  2. Step 2: Convert to fraction form
    19,493.20/29,218.92 = 10,123.84/x
  3. Step 3: Cross multiply
    19,493.20x = 29,218.92 × 10,123.84
  4. Step 4: Simplify right side
    19,493.20x = 295,807,671.05
  5. Step 5: Solve for x
    x = 295,807,671.05/19,493.20
  6. Step 6: Final answer
    x = 15,174.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.