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Finding the Fourth Proportional to 17,394.28, 24,004.20 and 13,408

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Solution

The fourth proportional to 17,394.28, 24,004.20 and 13,408 is: 18,503.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,394.28 : 24,004.20 = 13,408 : x
  2. Step 2: Convert to fraction form
    17,394.28/24,004.20 = 13,408/x
  3. Step 3: Cross multiply
    17,394.28x = 24,004.20 × 13,408
  4. Step 4: Simplify right side
    17,394.28x = 321,848,313.60
  5. Step 5: Solve for x
    x = 321,848,313.60/17,394.28
  6. Step 6: Final answer
    x = 18,503.11

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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.