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Finding the Fourth Proportional to 13,757.76, 20,636.64 and 5,544

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Solution

The fourth proportional to 13,757.76, 20,636.64 and 5,544 is: 8,316

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757.76 : 20,636.64 = 5,544 : x
  2. Step 2: Convert to fraction form
    13,757.76/20,636.64 = 5,544/x
  3. Step 3: Cross multiply
    13,757.76x = 20,636.64 × 5,544
  4. Step 4: Simplify right side
    13,757.76x = 114,409,532.16
  5. Step 5: Solve for x
    x = 114,409,532.16/13,757.76
  6. Step 6: Final answer
    x = 8,316

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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.