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Finding the Fourth Proportional to 27,636, 41,454.12 and 9,168

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Solution

The fourth proportional to 27,636, 41,454.12 and 9,168 is: 13,752.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,636 : 41,454.12 = 9,168 : x
  2. Step 2: Convert to fraction form
    27,636/41,454.12 = 9,168/x
  3. Step 3: Cross multiply
    27,636x = 41,454.12 × 9,168
  4. Step 4: Simplify right side
    27,636x = 380,051,372.16
  5. Step 5: Solve for x
    x = 380,051,372.16/27,636
  6. Step 6: Final answer
    x = 13,752.04

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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.