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Finding the Fourth Proportional to 20,474.70, 30,712.05 and 13,476.30

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Solution

The fourth proportional to 20,474.70, 30,712.05 and 13,476.30 is: 20,214.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,474.70 : 30,712.05 = 13,476.30 : x
  2. Step 2: Convert to fraction form
    20,474.70/30,712.05 = 13,476.30/x
  3. Step 3: Cross multiply
    20,474.70x = 30,712.05 × 13,476.30
  4. Step 4: Simplify right side
    20,474.70x = 413,884,799.42
  5. Step 5: Solve for x
    x = 413,884,799.42/20,474.70
  6. Step 6: Final answer
    x = 20,214.45

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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.