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Finding the Fourth Proportional to 21,455.44, 32,183.18 and 12,202

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Solution

The fourth proportional to 21,455.44, 32,183.18 and 12,202 is: 18,303.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,455.44 : 32,183.18 = 12,202 : x
  2. Step 2: Convert to fraction form
    21,455.44/32,183.18 = 12,202/x
  3. Step 3: Cross multiply
    21,455.44x = 32,183.18 × 12,202
  4. Step 4: Simplify right side
    21,455.44x = 392,699,162.36
  5. Step 5: Solve for x
    x = 392,699,162.36/21,455.44
  6. Step 6: Final answer
    x = 18,303.01

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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.