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Finding the Fourth Proportional to 16,974.26, 23,421.65 and 9,419.39

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Solution

The fourth proportional to 16,974.26, 23,421.65 and 9,419.39 is: 12,997.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,974.26 : 23,421.65 = 9,419.39 : x
  2. Step 2: Convert to fraction form
    16,974.26/23,421.65 = 9,419.39/x
  3. Step 3: Cross multiply
    16,974.26x = 23,421.65 × 9,419.39
  4. Step 4: Simplify right side
    16,974.26x = 220,617,491.59
  5. Step 5: Solve for x
    x = 220,617,491.59/16,974.26
  6. Step 6: Final answer
    x = 12,997.18

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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.