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Finding the Fourth Proportional to 16,494.86, 22,762.94 and 8,941.19

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Solution

The fourth proportional to 16,494.86, 22,762.94 and 8,941.19 is: 12,338.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.86 : 22,762.94 = 8,941.19 : x
  2. Step 2: Convert to fraction form
    16,494.86/22,762.94 = 8,941.19/x
  3. Step 3: Cross multiply
    16,494.86x = 22,762.94 × 8,941.19
  4. Step 4: Simplify right side
    16,494.86x = 203,527,726.79
  5. Step 5: Solve for x
    x = 203,527,726.79/16,494.86
  6. Step 6: Final answer
    x = 12,338.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.