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Finding the Fourth Proportional to 12,825.36, 19,251 and 9,131.76

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Solution

The fourth proportional to 12,825.36, 19,251 and 9,131.76 is: 13,706.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825.36 : 19,251 = 9,131.76 : x
  2. Step 2: Convert to fraction form
    12,825.36/19,251 = 9,131.76/x
  3. Step 3: Cross multiply
    12,825.36x = 19,251 × 9,131.76
  4. Step 4: Simplify right side
    12,825.36x = 175,795,511.76
  5. Step 5: Solve for x
    x = 175,795,511.76/12,825.36
  6. Step 6: Final answer
    x = 13,706.87

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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.