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Finding the Fourth Proportional to 12,932.34, 17,846.14 and 7,267.33

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Solution

The fourth proportional to 12,932.34, 17,846.14 and 7,267.33 is: 10,028.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,932.34 : 17,846.14 = 7,267.33 : x
  2. Step 2: Convert to fraction form
    12,932.34/17,846.14 = 7,267.33/x
  3. Step 3: Cross multiply
    12,932.34x = 17,846.14 × 7,267.33
  4. Step 4: Simplify right side
    12,932.34x = 129,693,756.18
  5. Step 5: Solve for x
    x = 129,693,756.18/12,932.34
  6. Step 6: Final answer
    x = 10,028.64

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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.