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Finding the Fourth Proportional to 13,935.78, 20,893.02 and 5,609.40

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Solution

The fourth proportional to 13,935.78, 20,893.02 and 5,609.40 is: 8,409.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,935.78 : 20,893.02 = 5,609.40 : x
  2. Step 2: Convert to fraction form
    13,935.78/20,893.02 = 5,609.40/x
  3. Step 3: Cross multiply
    13,935.78x = 20,893.02 × 5,609.40
  4. Step 4: Simplify right side
    13,935.78x = 117,197,306.39
  5. Step 5: Solve for x
    x = 117,197,306.39/13,935.78
  6. Step 6: Final answer
    x = 8,409.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.