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Finding the Fourth Proportional to 20,022.84, 30,035.82 and 11,703.72

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Solution

The fourth proportional to 20,022.84, 30,035.82 and 11,703.72 is: 17,556.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,022.84 : 30,035.82 = 11,703.72 : x
  2. Step 2: Convert to fraction form
    20,022.84/30,035.82 = 11,703.72/x
  3. Step 3: Cross multiply
    20,022.84x = 30,035.82 × 11,703.72
  4. Step 4: Simplify right side
    20,022.84x = 351,530,827.25
  5. Step 5: Solve for x
    x = 351,530,827.25/20,022.84
  6. Step 6: Final answer
    x = 17,556.49

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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.