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Finding the Fourth Proportional to 11,701.65, 17,533.04 and 8,231.61

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Solution

The fourth proportional to 11,701.65, 17,533.04 and 8,231.61 is: 12,333.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.65 : 17,533.04 = 8,231.61 : x
  2. Step 2: Convert to fraction form
    11,701.65/17,533.04 = 8,231.61/x
  3. Step 3: Cross multiply
    11,701.65x = 17,533.04 × 8,231.61
  4. Step 4: Simplify right side
    11,701.65x = 144,325,106.24
  5. Step 5: Solve for x
    x = 144,325,106.24/11,701.65
  6. Step 6: Final answer
    x = 12,333.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.