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Finding the Fourth Proportional to 16,406.46, 22,633.80 and 10,731.30

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Solution

The fourth proportional to 16,406.46, 22,633.80 and 10,731.30 is: 14,804.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,406.46 : 22,633.80 = 10,731.30 : x
  2. Step 2: Convert to fraction form
    16,406.46/22,633.80 = 10,731.30/x
  3. Step 3: Cross multiply
    16,406.46x = 22,633.80 × 10,731.30
  4. Step 4: Simplify right side
    16,406.46x = 242,890,097.94
  5. Step 5: Solve for x
    x = 242,890,097.94/16,406.46
  6. Step 6: Final answer
    x = 14,804.54

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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.