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Finding the Fourth Proportional to 20,673.30, 30,991.50 and 9,564.71

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Solution

The fourth proportional to 20,673.30, 30,991.50 and 9,564.71 is: 14,338.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,673.30 : 30,991.50 = 9,564.71 : x
  2. Step 2: Convert to fraction form
    20,673.30/30,991.50 = 9,564.71/x
  3. Step 3: Cross multiply
    20,673.30x = 30,991.50 × 9,564.71
  4. Step 4: Simplify right side
    20,673.30x = 296,424,628.72
  5. Step 5: Solve for x
    x = 296,424,628.72/20,673.30
  6. Step 6: Final answer
    x = 14,338.52

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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.