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Finding the Fourth Proportional to 11,985.66, 17,977.23 and 3,221.46

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Solution

The fourth proportional to 11,985.66, 17,977.23 and 3,221.46 is: 4,831.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,985.66 : 17,977.23 = 3,221.46 : x
  2. Step 2: Convert to fraction form
    11,985.66/17,977.23 = 3,221.46/x
  3. Step 3: Cross multiply
    11,985.66x = 17,977.23 × 3,221.46
  4. Step 4: Simplify right side
    11,985.66x = 57,912,927.36
  5. Step 5: Solve for x
    x = 57,912,927.36/11,985.66
  6. Step 6: Final answer
    x = 4,831.85

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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.