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Finding the Fourth Proportional to 21,394.48, 29,524.56 and 12,442.24

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Solution

The fourth proportional to 21,394.48, 29,524.56 and 12,442.24 is: 17,170.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,394.48 : 29,524.56 = 12,442.24 : x
  2. Step 2: Convert to fraction form
    21,394.48/29,524.56 = 12,442.24/x
  3. Step 3: Cross multiply
    21,394.48x = 29,524.56 × 12,442.24
  4. Step 4: Simplify right side
    21,394.48x = 367,351,661.41
  5. Step 5: Solve for x
    x = 367,351,661.41/21,394.48
  6. Step 6: Final answer
    x = 17,170.39

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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.