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Finding the Fourth Proportional to 22,451.88, 30,983.81 and 12,380.68

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Solution

The fourth proportional to 22,451.88, 30,983.81 and 12,380.68 is: 17,085.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,451.88 : 30,983.81 = 12,380.68 : x
  2. Step 2: Convert to fraction form
    22,451.88/30,983.81 = 12,380.68/x
  3. Step 3: Cross multiply
    22,451.88x = 30,983.81 × 12,380.68
  4. Step 4: Simplify right side
    22,451.88x = 383,600,474.15
  5. Step 5: Solve for x
    x = 383,600,474.15/22,451.88
  6. Step 6: Final answer
    x = 17,085.45

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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.