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Finding the Fourth Proportional to 22,380, 30,884.40 and 12,444

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Solution

The fourth proportional to 22,380, 30,884.40 and 12,444 is: 17,172.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,380 : 30,884.40 = 12,444 : x
  2. Step 2: Convert to fraction form
    22,380/30,884.40 = 12,444/x
  3. Step 3: Cross multiply
    22,380x = 30,884.40 × 12,444
  4. Step 4: Simplify right side
    22,380x = 384,325,473.60
  5. Step 5: Solve for x
    x = 384,325,473.60/22,380
  6. Step 6: Final answer
    x = 17,172.72

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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.