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Finding the Fourth Proportional to 22,429.38, 30,952.56 and 13,003.41

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Solution

The fourth proportional to 22,429.38, 30,952.56 and 13,003.41 is: 17,944.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,429.38 : 30,952.56 = 13,003.41 : x
  2. Step 2: Convert to fraction form
    22,429.38/30,952.56 = 13,003.41/x
  3. Step 3: Cross multiply
    22,429.38x = 30,952.56 × 13,003.41
  4. Step 4: Simplify right side
    22,429.38x = 402,488,828.23
  5. Step 5: Solve for x
    x = 402,488,828.23/22,429.38
  6. Step 6: Final answer
    x = 17,944.71

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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.