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Finding the Fourth Proportional to 22,940.91, 31,654.62 and 13,511.34

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Solution

The fourth proportional to 22,940.91, 31,654.62 and 13,511.34 is: 18,643.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,940.91 : 31,654.62 = 13,511.34 : x
  2. Step 2: Convert to fraction form
    22,940.91/31,654.62 = 13,511.34/x
  3. Step 3: Cross multiply
    22,940.91x = 31,654.62 × 13,511.34
  4. Step 4: Simplify right side
    22,940.91x = 427,696,333.39
  5. Step 5: Solve for x
    x = 427,696,333.39/22,940.91
  6. Step 6: Final answer
    x = 18,643.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.