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Finding the Fourth Proportional to 20,493.71, 30,744.66 and 7,347.11

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Solution

The fourth proportional to 20,493.71, 30,744.66 and 7,347.11 is: 11,022.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,493.71 : 30,744.66 = 7,347.11 : x
  2. Step 2: Convert to fraction form
    20,493.71/30,744.66 = 7,347.11/x
  3. Step 3: Cross multiply
    20,493.71x = 30,744.66 × 7,347.11
  4. Step 4: Simplify right side
    20,493.71x = 225,884,272.76
  5. Step 5: Solve for x
    x = 225,884,272.76/20,493.71
  6. Step 6: Final answer
    x = 11,022.13

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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.