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Finding the Fourth Proportional to 13,404, 20,106 and 4,636.56

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Solution

The fourth proportional to 13,404, 20,106 and 4,636.56 is: 6,954.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,404 : 20,106 = 4,636.56 : x
  2. Step 2: Convert to fraction form
    13,404/20,106 = 4,636.56/x
  3. Step 3: Cross multiply
    13,404x = 20,106 × 4,636.56
  4. Step 4: Simplify right side
    13,404x = 93,222,675.36
  5. Step 5: Solve for x
    x = 93,222,675.36/13,404
  6. Step 6: Final answer
    x = 6,954.84

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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.