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Finding the Fourth Proportional to 22,444, 30,972.71 and 12,372.60

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Solution

The fourth proportional to 22,444, 30,972.71 and 12,372.60 is: 17,074.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,444 : 30,972.71 = 12,372.60 : x
  2. Step 2: Convert to fraction form
    22,444/30,972.71 = 12,372.60/x
  3. Step 3: Cross multiply
    22,444x = 30,972.71 × 12,372.60
  4. Step 4: Simplify right side
    22,444x = 383,212,951.75
  5. Step 5: Solve for x
    x = 383,212,951.75/22,444
  6. Step 6: Final answer
    x = 17,074.18

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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.