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Finding the Fourth Proportional to 20,390.96, 30,580.80 and 13,857.20

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Solution

The fourth proportional to 20,390.96, 30,580.80 and 13,857.20 is: 20,781.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,390.96 : 30,580.80 = 13,857.20 : x
  2. Step 2: Convert to fraction form
    20,390.96/30,580.80 = 13,857.20/x
  3. Step 3: Cross multiply
    20,390.96x = 30,580.80 × 13,857.20
  4. Step 4: Simplify right side
    20,390.96x = 423,764,261.76
  5. Step 5: Solve for x
    x = 423,764,261.76/20,390.96
  6. Step 6: Final answer
    x = 20,781.97

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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.