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Finding the Fourth Proportional to 11,952.99, 17,933.22 and 9,329.46

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Solution

The fourth proportional to 11,952.99, 17,933.22 and 9,329.46 is: 13,997.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952.99 : 17,933.22 = 9,329.46 : x
  2. Step 2: Convert to fraction form
    11,952.99/17,933.22 = 9,329.46/x
  3. Step 3: Cross multiply
    11,952.99x = 17,933.22 × 9,329.46
  4. Step 4: Simplify right side
    11,952.99x = 167,307,258.66
  5. Step 5: Solve for x
    x = 167,307,258.66/11,952.99
  6. Step 6: Final answer
    x = 13,997.11

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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.