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Finding the Fourth Proportional to 12,419.50, 17,130.23 and 8,169.22

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Solution

The fourth proportional to 12,419.50, 17,130.23 and 8,169.22 is: 11,267.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419.50 : 17,130.23 = 8,169.22 : x
  2. Step 2: Convert to fraction form
    12,419.50/17,130.23 = 8,169.22/x
  3. Step 3: Cross multiply
    12,419.50x = 17,130.23 × 8,169.22
  4. Step 4: Simplify right side
    12,419.50x = 139,940,617.52
  5. Step 5: Solve for x
    x = 139,940,617.52/12,419.50
  6. Step 6: Final answer
    x = 11,267.81

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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.