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Finding the Fourth Proportional to 22,380.34, 30,884.94 and 12,309.40

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Solution

The fourth proportional to 22,380.34, 30,884.94 and 12,309.40 is: 16,987.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,380.34 : 30,884.94 = 12,309.40 : x
  2. Step 2: Convert to fraction form
    22,380.34/30,884.94 = 12,309.40/x
  3. Step 3: Cross multiply
    22,380.34x = 30,884.94 × 12,309.40
  4. Step 4: Simplify right side
    22,380.34x = 380,175,080.44
  5. Step 5: Solve for x
    x = 380,175,080.44/22,380.34
  6. Step 6: Final answer
    x = 16,987.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.