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Finding the Fourth Proportional to 22,213.44, 33,281.28 and 12,960

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Solution

The fourth proportional to 22,213.44, 33,281.28 and 12,960 is: 19,417.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,213.44 : 33,281.28 = 12,960 : x
  2. Step 2: Convert to fraction form
    22,213.44/33,281.28 = 12,960/x
  3. Step 3: Cross multiply
    22,213.44x = 33,281.28 × 12,960
  4. Step 4: Simplify right side
    22,213.44x = 431,325,388.80
  5. Step 5: Solve for x
    x = 431,325,388.80/22,213.44
  6. Step 6: Final answer
    x = 19,417.32

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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.