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Finding the Fourth Proportional to 11,555.82, 17,332.39 and 3,236.50

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Solution

The fourth proportional to 11,555.82, 17,332.39 and 3,236.50 is: 4,854.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,555.82 : 17,332.39 = 3,236.50 : x
  2. Step 2: Convert to fraction form
    11,555.82/17,332.39 = 3,236.50/x
  3. Step 3: Cross multiply
    11,555.82x = 17,332.39 × 3,236.50
  4. Step 4: Simplify right side
    11,555.82x = 56,096,280.24
  5. Step 5: Solve for x
    x = 56,096,280.24/11,555.82
  6. Step 6: Final answer
    x = 4,854.37

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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.