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Finding the Fourth Proportional to 16,238.25, 22,419.12 and 13,261.20

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Solution

The fourth proportional to 16,238.25, 22,419.12 and 13,261.20 is: 18,308.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.25 : 22,419.12 = 13,261.20 : x
  2. Step 2: Convert to fraction form
    16,238.25/22,419.12 = 13,261.20/x
  3. Step 3: Cross multiply
    16,238.25x = 22,419.12 × 13,261.20
  4. Step 4: Simplify right side
    16,238.25x = 297,304,434.14
  5. Step 5: Solve for x
    x = 297,304,434.14/16,238.25
  6. Step 6: Final answer
    x = 18,308.90

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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.