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Finding the Fourth Proportional to 13,513.50, 20,270.34 and 4,279.50

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Solution

The fourth proportional to 13,513.50, 20,270.34 and 4,279.50 is: 6,419.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,513.50 : 20,270.34 = 4,279.50 : x
  2. Step 2: Convert to fraction form
    13,513.50/20,270.34 = 4,279.50/x
  3. Step 3: Cross multiply
    13,513.50x = 20,270.34 × 4,279.50
  4. Step 4: Simplify right side
    13,513.50x = 86,746,920.03
  5. Step 5: Solve for x
    x = 86,746,920.03/13,513.50
  6. Step 6: Final answer
    x = 6,419.28

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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.