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Finding the Fourth Proportional to 21,613.50, 32,420.25 and 5,197.50

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Solution

The fourth proportional to 21,613.50, 32,420.25 and 5,197.50 is: 7,796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,613.50 : 32,420.25 = 5,197.50 : x
  2. Step 2: Convert to fraction form
    21,613.50/32,420.25 = 5,197.50/x
  3. Step 3: Cross multiply
    21,613.50x = 32,420.25 × 5,197.50
  4. Step 4: Simplify right side
    21,613.50x = 168,504,249.38
  5. Step 5: Solve for x
    x = 168,504,249.38/21,613.50
  6. Step 6: Final answer
    x = 7,796.25

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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.