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Finding the Fourth Proportional to 16,006.86, 22,090.69 and 8,838.16

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Solution

The fourth proportional to 16,006.86, 22,090.69 and 8,838.16 is: 12,197.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006.86 : 22,090.69 = 8,838.16 : x
  2. Step 2: Convert to fraction form
    16,006.86/22,090.69 = 8,838.16/x
  3. Step 3: Cross multiply
    16,006.86x = 22,090.69 × 8,838.16
  4. Step 4: Simplify right side
    16,006.86x = 195,240,898.09
  5. Step 5: Solve for x
    x = 195,240,898.09/16,006.86
  6. Step 6: Final answer
    x = 12,197.33

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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.