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Finding the Fourth Proportional to 22,694.96, 31,318.04 and 13,133.32

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Solution

The fourth proportional to 22,694.96, 31,318.04 and 13,133.32 is: 18,123.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,694.96 : 31,318.04 = 13,133.32 : x
  2. Step 2: Convert to fraction form
    22,694.96/31,318.04 = 13,133.32/x
  3. Step 3: Cross multiply
    22,694.96x = 31,318.04 × 13,133.32
  4. Step 4: Simplify right side
    22,694.96x = 411,309,618.84
  5. Step 5: Solve for x
    x = 411,309,618.84/22,694.96
  6. Step 6: Final answer
    x = 18,123.39

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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.