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Finding the Fourth Proportional to 21,601.69, 32,402.53 and 5,185.69

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Solution

The fourth proportional to 21,601.69, 32,402.53 and 5,185.69 is: 7,778.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,601.69 : 32,402.53 = 5,185.69 : x
  2. Step 2: Convert to fraction form
    21,601.69/32,402.53 = 5,185.69/x
  3. Step 3: Cross multiply
    21,601.69x = 32,402.53 × 5,185.69
  4. Step 4: Simplify right side
    21,601.69x = 168,029,401.27
  5. Step 5: Solve for x
    x = 168,029,401.27/21,601.69
  6. Step 6: Final answer
    x = 7,778.53

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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.