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Finding the Fourth Proportional to 12,332.31, 17,005.20 and 7,850.33

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Solution

The fourth proportional to 12,332.31, 17,005.20 and 7,850.33 is: 10,824.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,332.31 : 17,005.20 = 7,850.33 : x
  2. Step 2: Convert to fraction form
    12,332.31/17,005.20 = 7,850.33/x
  3. Step 3: Cross multiply
    12,332.31x = 17,005.20 × 7,850.33
  4. Step 4: Simplify right side
    12,332.31x = 133,496,346.69
  5. Step 5: Solve for x
    x = 133,496,346.69/12,332.31
  6. Step 6: Final answer
    x = 10,824.93

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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.