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Finding the Fourth Proportional to 16,267.50, 22,449.24 and 8,815.50

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Solution

The fourth proportional to 16,267.50, 22,449.24 and 8,815.50 is: 12,165.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,267.50 : 22,449.24 = 8,815.50 : x
  2. Step 2: Convert to fraction form
    16,267.50/22,449.24 = 8,815.50/x
  3. Step 3: Cross multiply
    16,267.50x = 22,449.24 × 8,815.50
  4. Step 4: Simplify right side
    16,267.50x = 197,901,275.22
  5. Step 5: Solve for x
    x = 197,901,275.22/16,267.50
  6. Step 6: Final answer
    x = 12,165.44

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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.