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Finding the Fourth Proportional to 11,833.68, 17,720.16 and 11,483.30

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Solution

The fourth proportional to 11,833.68, 17,720.16 and 11,483.30 is: 17,195.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.68 : 17,720.16 = 11,483.30 : x
  2. Step 2: Convert to fraction form
    11,833.68/17,720.16 = 11,483.30/x
  3. Step 3: Cross multiply
    11,833.68x = 17,720.16 × 11,483.30
  4. Step 4: Simplify right side
    11,833.68x = 203,485,913.33
  5. Step 5: Solve for x
    x = 203,485,913.33/11,833.68
  6. Step 6: Final answer
    x = 17,195.49

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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.