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Finding the Fourth Proportional to 16,682.74, 25,023.22 and 4,202.75

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Solution

The fourth proportional to 16,682.74, 25,023.22 and 4,202.75 is: 6,303.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,682.74 : 25,023.22 = 4,202.75 : x
  2. Step 2: Convert to fraction form
    16,682.74/25,023.22 = 4,202.75/x
  3. Step 3: Cross multiply
    16,682.74x = 25,023.22 × 4,202.75
  4. Step 4: Simplify right side
    16,682.74x = 105,166,337.86
  5. Step 5: Solve for x
    x = 105,166,337.86/16,682.74
  6. Step 6: Final answer
    x = 6,303.90

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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.