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Finding the Fourth Proportional to 11,837.60, 17,740.20 and 9,650.60

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Solution

The fourth proportional to 11,837.60, 17,740.20 and 9,650.60 is: 14,462.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,837.60 : 17,740.20 = 9,650.60 : x
  2. Step 2: Convert to fraction form
    11,837.60/17,740.20 = 9,650.60/x
  3. Step 3: Cross multiply
    11,837.60x = 17,740.20 × 9,650.60
  4. Step 4: Simplify right side
    11,837.60x = 171,203,574.12
  5. Step 5: Solve for x
    x = 171,203,574.12/11,837.60
  6. Step 6: Final answer
    x = 14,462.69

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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.