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Finding the Fourth Proportional to 16,219.30, 22,382.64 and 8,767.30

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Solution

The fourth proportional to 16,219.30, 22,382.64 and 8,767.30 is: 12,098.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219.30 : 22,382.64 = 8,767.30 : x
  2. Step 2: Convert to fraction form
    16,219.30/22,382.64 = 8,767.30/x
  3. Step 3: Cross multiply
    16,219.30x = 22,382.64 × 8,767.30
  4. Step 4: Simplify right side
    16,219.30x = 196,235,319.67
  5. Step 5: Solve for x
    x = 196,235,319.67/16,219.30
  6. Step 6: Final answer
    x = 12,098.88

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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.