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Finding the Fourth Proportional to 21,601.50, 32,402.25 and 5,185.50

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Solution

The fourth proportional to 21,601.50, 32,402.25 and 5,185.50 is: 7,778.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,601.50 : 32,402.25 = 5,185.50 : x
  2. Step 2: Convert to fraction form
    21,601.50/32,402.25 = 5,185.50/x
  3. Step 3: Cross multiply
    21,601.50x = 32,402.25 × 5,185.50
  4. Step 4: Simplify right side
    21,601.50x = 168,021,867.38
  5. Step 5: Solve for x
    x = 168,021,867.38/21,601.50
  6. Step 6: Final answer
    x = 7,778.25

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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.