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Finding the Fourth Proportional to 12,491.90, 17,238.50 and 6,826.66

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Solution

The fourth proportional to 12,491.90, 17,238.50 and 6,826.66 is: 9,420.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,491.90 : 17,238.50 = 6,826.66 : x
  2. Step 2: Convert to fraction form
    12,491.90/17,238.50 = 6,826.66/x
  3. Step 3: Cross multiply
    12,491.90x = 17,238.50 × 6,826.66
  4. Step 4: Simplify right side
    12,491.90x = 117,681,378.41
  5. Step 5: Solve for x
    x = 117,681,378.41/12,491.90
  6. Step 6: Final answer
    x = 9,420.61

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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.