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Finding the Fourth Proportional to 12,491.64, 17,237.96 and 7,182.84

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Solution

The fourth proportional to 12,491.64, 17,237.96 and 7,182.84 is: 9,912.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,491.64 : 17,237.96 = 7,182.84 : x
  2. Step 2: Convert to fraction form
    12,491.64/17,237.96 = 7,182.84/x
  3. Step 3: Cross multiply
    12,491.64x = 17,237.96 × 7,182.84
  4. Step 4: Simplify right side
    12,491.64x = 123,817,508.61
  5. Step 5: Solve for x
    x = 123,817,508.61/12,491.64
  6. Step 6: Final answer
    x = 9,912.03

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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.