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Finding the Fourth Proportional to 22,982.80, 31,716.32 and 13,429.24

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Solution

The fourth proportional to 22,982.80, 31,716.32 and 13,429.24 is: 18,532.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,982.80 : 31,716.32 = 13,429.24 : x
  2. Step 2: Convert to fraction form
    22,982.80/31,716.32 = 13,429.24/x
  3. Step 3: Cross multiply
    22,982.80x = 31,716.32 × 13,429.24
  4. Step 4: Simplify right side
    22,982.80x = 425,926,073.20
  5. Step 5: Solve for x
    x = 425,926,073.20/22,982.80
  6. Step 6: Final answer
    x = 18,532.38

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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.