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Finding the Fourth Proportional to 30,218.96, 45,311 and 11,729.36

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Solution

The fourth proportional to 30,218.96, 45,311 and 11,729.36 is: 17,587.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,218.96 : 45,311 = 11,729.36 : x
  2. Step 2: Convert to fraction form
    30,218.96/45,311 = 11,729.36/x
  3. Step 3: Cross multiply
    30,218.96x = 45,311 × 11,729.36
  4. Step 4: Simplify right side
    30,218.96x = 531,469,030.96
  5. Step 5: Solve for x
    x = 531,469,030.96/30,218.96
  6. Step 6: Final answer
    x = 17,587.27

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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.