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Finding the Fourth Proportional to 16,137.83, 22,269.20 and 8,967.31

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Solution

The fourth proportional to 16,137.83, 22,269.20 and 8,967.31 is: 12,374.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,137.83 : 22,269.20 = 8,967.31 : x
  2. Step 2: Convert to fraction form
    16,137.83/22,269.20 = 8,967.31/x
  3. Step 3: Cross multiply
    16,137.83x = 22,269.20 × 8,967.31
  4. Step 4: Simplify right side
    16,137.83x = 199,694,719.34
  5. Step 5: Solve for x
    x = 199,694,719.34/16,137.83
  6. Step 6: Final answer
    x = 12,374.32

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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.