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Finding the Fourth Proportional to 16,520.10, 22,797.68 and 8,966.50

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Solution

The fourth proportional to 16,520.10, 22,797.68 and 8,966.50 is: 12,373.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,520.10 : 22,797.68 = 8,966.50 : x
  2. Step 2: Convert to fraction form
    16,520.10/22,797.68 = 8,966.50/x
  3. Step 3: Cross multiply
    16,520.10x = 22,797.68 × 8,966.50
  4. Step 4: Simplify right side
    16,520.10x = 204,415,321.11
  5. Step 5: Solve for x
    x = 204,415,321.11/16,520.10
  6. Step 6: Final answer
    x = 12,373.73

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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.