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Finding the Fourth Proportional to 16,007.63, 24,013.26 and 8,218.26

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Solution

The fourth proportional to 16,007.63, 24,013.26 and 8,218.26 is: 12,328.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,007.63 : 24,013.26 = 8,218.26 : x
  2. Step 2: Convert to fraction form
    16,007.63/24,013.26 = 8,218.26/x
  3. Step 3: Cross multiply
    16,007.63x = 24,013.26 × 8,218.26
  4. Step 4: Simplify right side
    16,007.63x = 197,347,214.13
  5. Step 5: Solve for x
    x = 197,347,214.13/16,007.63
  6. Step 6: Final answer
    x = 12,328.33

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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.