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Finding the Fourth Proportional to 12,583.86, 18,860 and 11,020.16

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Solution

The fourth proportional to 12,583.86, 18,860 and 11,020.16 is: 16,516.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,583.86 : 18,860 = 11,020.16 : x
  2. Step 2: Convert to fraction form
    12,583.86/18,860 = 11,020.16/x
  3. Step 3: Cross multiply
    12,583.86x = 18,860 × 11,020.16
  4. Step 4: Simplify right side
    12,583.86x = 207,840,217.60
  5. Step 5: Solve for x
    x = 207,840,217.60/12,583.86
  6. Step 6: Final answer
    x = 16,516.41

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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.