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Finding the Fourth Proportional to 11,701.15, 17,532.29 and 8,231.11

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Solution

The fourth proportional to 11,701.15, 17,532.29 and 8,231.11 is: 12,332.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.15 : 17,532.29 = 8,231.11 : x
  2. Step 2: Convert to fraction form
    11,701.15/17,532.29 = 8,231.11/x
  3. Step 3: Cross multiply
    11,701.15x = 17,532.29 × 8,231.11
  4. Step 4: Simplify right side
    11,701.15x = 144,310,166.39
  5. Step 5: Solve for x
    x = 144,310,166.39/11,701.15
  6. Step 6: Final answer
    x = 12,332.99

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Why These Related Problems?

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