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Finding the Fourth Proportional to 22,447.74, 30,977.70 and 12,376.60

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Solution

The fourth proportional to 22,447.74, 30,977.70 and 12,376.60 is: 17,079.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,447.74 : 30,977.70 = 12,376.60 : x
  2. Step 2: Convert to fraction form
    22,447.74/30,977.70 = 12,376.60/x
  3. Step 3: Cross multiply
    22,447.74x = 30,977.70 × 12,376.60
  4. Step 4: Simplify right side
    22,447.74x = 383,398,601.82
  5. Step 5: Solve for x
    x = 383,398,601.82/22,447.74
  6. Step 6: Final answer
    x = 17,079.61

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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.