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Finding the Fourth Proportional to 24,472, 33,771.36 and 13,294.24

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Solution

The fourth proportional to 24,472, 33,771.36 and 13,294.24 is: 18,346.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,472 : 33,771.36 = 13,294.24 : x
  2. Step 2: Convert to fraction form
    24,472/33,771.36 = 13,294.24/x
  3. Step 3: Cross multiply
    24,472x = 33,771.36 × 13,294.24
  4. Step 4: Simplify right side
    24,472x = 448,964,564.97
  5. Step 5: Solve for x
    x = 448,964,564.97/24,472
  6. Step 6: Final answer
    x = 18,346.05

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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.