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Finding the Fourth Proportional to 22,706.14, 31,333.62 and 12,634.96

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Solution

The fourth proportional to 22,706.14, 31,333.62 and 12,634.96 is: 17,435.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,706.14 : 31,333.62 = 12,634.96 : x
  2. Step 2: Convert to fraction form
    22,706.14/31,333.62 = 12,634.96/x
  3. Step 3: Cross multiply
    22,706.14x = 31,333.62 × 12,634.96
  4. Step 4: Simplify right side
    22,706.14x = 395,899,035.36
  5. Step 5: Solve for x
    x = 395,899,035.36/22,706.14
  6. Step 6: Final answer
    x = 17,435.77

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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.