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Finding the Fourth Proportional to 16,042.69, 22,138.54 and 8,969.77

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Solution

The fourth proportional to 16,042.69, 22,138.54 and 8,969.77 is: 12,378.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,042.69 : 22,138.54 = 8,969.77 : x
  2. Step 2: Convert to fraction form
    16,042.69/22,138.54 = 8,969.77/x
  3. Step 3: Cross multiply
    16,042.69x = 22,138.54 × 8,969.77
  4. Step 4: Simplify right side
    16,042.69x = 198,577,611.94
  5. Step 5: Solve for x
    x = 198,577,611.94/16,042.69
  6. Step 6: Final answer
    x = 12,378.07

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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.