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Finding the Fourth Proportional to 11,649.84, 17,473.54 and 3,329.31

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Solution

The fourth proportional to 11,649.84, 17,473.54 and 3,329.31 is: 4,993.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.84 : 17,473.54 = 3,329.31 : x
  2. Step 2: Convert to fraction form
    11,649.84/17,473.54 = 3,329.31/x
  3. Step 3: Cross multiply
    11,649.84x = 17,473.54 × 3,329.31
  4. Step 4: Simplify right side
    11,649.84x = 58,174,831.46
  5. Step 5: Solve for x
    x = 58,174,831.46/11,649.84
  6. Step 6: Final answer
    x = 4,993.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.