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Finding the Fourth Proportional to 11,821.60, 17,716.20 and 9,634.60

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Solution

The fourth proportional to 11,821.60, 17,716.20 and 9,634.60 is: 14,438.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,821.60 : 17,716.20 = 9,634.60 : x
  2. Step 2: Convert to fraction form
    11,821.60/17,716.20 = 9,634.60/x
  3. Step 3: Cross multiply
    11,821.60x = 17,716.20 × 9,634.60
  4. Step 4: Simplify right side
    11,821.60x = 170,688,500.52
  5. Step 5: Solve for x
    x = 170,688,500.52/11,821.60
  6. Step 6: Final answer
    x = 14,438.70

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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.