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Finding the Fourth Proportional to 12,491.23, 17,237.94 and 6,825.98

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Solution

The fourth proportional to 12,491.23, 17,237.94 and 6,825.98 is: 9,419.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,491.23 : 17,237.94 = 6,825.98 : x
  2. Step 2: Convert to fraction form
    12,491.23/17,237.94 = 6,825.98/x
  3. Step 3: Cross multiply
    12,491.23x = 17,237.94 × 6,825.98
  4. Step 4: Simplify right side
    12,491.23x = 117,665,779.81
  5. Step 5: Solve for x
    x = 117,665,779.81/12,491.23
  6. Step 6: Final answer
    x = 9,419.87

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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.