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Finding the Fourth Proportional to 21,422.40, 32,138.40 and 8,273.60

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Solution

The fourth proportional to 21,422.40, 32,138.40 and 8,273.60 is: 12,412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,422.40 : 32,138.40 = 8,273.60 : x
  2. Step 2: Convert to fraction form
    21,422.40/32,138.40 = 8,273.60/x
  3. Step 3: Cross multiply
    21,422.40x = 32,138.40 × 8,273.60
  4. Step 4: Simplify right side
    21,422.40x = 265,900,266.24
  5. Step 5: Solve for x
    x = 265,900,266.24/21,422.40
  6. Step 6: Final answer
    x = 12,412.25

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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.