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Finding the Fourth Proportional to 20,648.73, 30,975.16 and 6,605.22

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Solution

The fourth proportional to 20,648.73, 30,975.16 and 6,605.22 is: 9,908.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,648.73 : 30,975.16 = 6,605.22 : x
  2. Step 2: Convert to fraction form
    20,648.73/30,975.16 = 6,605.22/x
  3. Step 3: Cross multiply
    20,648.73x = 30,975.16 × 6,605.22
  4. Step 4: Simplify right side
    20,648.73x = 204,597,746.34
  5. Step 5: Solve for x
    x = 204,597,746.34/20,648.73
  6. Step 6: Final answer
    x = 9,908.49

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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.