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Finding the Fourth Proportional to 13,384.14, 20,077.20 and 4,023.42

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Solution

The fourth proportional to 13,384.14, 20,077.20 and 4,023.42 is: 6,035.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.14 : 20,077.20 = 4,023.42 : x
  2. Step 2: Convert to fraction form
    13,384.14/20,077.20 = 4,023.42/x
  3. Step 3: Cross multiply
    13,384.14x = 20,077.20 × 4,023.42
  4. Step 4: Simplify right side
    13,384.14x = 80,779,008.02
  5. Step 5: Solve for x
    x = 80,779,008.02/13,384.14
  6. Step 6: Final answer
    x = 6,035.43

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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.