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Finding the Fourth Proportional to 21,004.80, 31,442.40 and 12,213.60

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Solution

The fourth proportional to 21,004.80, 31,442.40 and 12,213.60 is: 18,282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,004.80 : 31,442.40 = 12,213.60 : x
  2. Step 2: Convert to fraction form
    21,004.80/31,442.40 = 12,213.60/x
  3. Step 3: Cross multiply
    21,004.80x = 31,442.40 × 12,213.60
  4. Step 4: Simplify right side
    21,004.80x = 384,024,896.64
  5. Step 5: Solve for x
    x = 384,024,896.64/21,004.80
  6. Step 6: Final answer
    x = 18,282.72

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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.