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Finding the Fourth Proportional to 12,932.08, 19,401 and 7,085.68

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Solution

The fourth proportional to 12,932.08, 19,401 and 7,085.68 is: 10,630.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,932.08 : 19,401 = 7,085.68 : x
  2. Step 2: Convert to fraction form
    12,932.08/19,401 = 7,085.68/x
  3. Step 3: Cross multiply
    12,932.08x = 19,401 × 7,085.68
  4. Step 4: Simplify right side
    12,932.08x = 137,469,277.68
  5. Step 5: Solve for x
    x = 137,469,277.68/12,932.08
  6. Step 6: Final answer
    x = 10,630.10

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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.