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Finding the Fourth Proportional to 25,322.34, 34,954.54 and 22,665

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Solution

The fourth proportional to 25,322.34, 34,954.54 and 22,665 is: 31,286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,322.34 : 34,954.54 = 22,665 : x
  2. Step 2: Convert to fraction form
    25,322.34/34,954.54 = 22,665/x
  3. Step 3: Cross multiply
    25,322.34x = 34,954.54 × 22,665
  4. Step 4: Simplify right side
    25,322.34x = 792,244,649.10
  5. Step 5: Solve for x
    x = 792,244,649.10/25,322.34
  6. Step 6: Final answer
    x = 31,286.39

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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.