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Finding the Fourth Proportional to 12,491.24, 17,237.76 and 6,825.96

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Solution

The fourth proportional to 12,491.24, 17,237.76 and 6,825.96 is: 9,419.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,491.24 : 17,237.76 = 6,825.96 : x
  2. Step 2: Convert to fraction form
    12,491.24/17,237.76 = 6,825.96/x
  3. Step 3: Cross multiply
    12,491.24x = 17,237.76 × 6,825.96
  4. Step 4: Simplify right side
    12,491.24x = 117,664,260.25
  5. Step 5: Solve for x
    x = 117,664,260.25/12,491.24
  6. Step 6: Final answer
    x = 9,419.74

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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.