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Finding the Fourth Proportional to 20,573.34, 30,909.24 and 13,192.20

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Solution

The fourth proportional to 20,573.34, 30,909.24 and 13,192.20 is: 19,819.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,573.34 : 30,909.24 = 13,192.20 : x
  2. Step 2: Convert to fraction form
    20,573.34/30,909.24 = 13,192.20/x
  3. Step 3: Cross multiply
    20,573.34x = 30,909.24 × 13,192.20
  4. Step 4: Simplify right side
    20,573.34x = 407,760,875.93
  5. Step 5: Solve for x
    x = 407,760,875.93/20,573.34
  6. Step 6: Final answer
    x = 19,819.87

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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.