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Finding the Fourth Proportional to 16,963.50, 23,408.80 and 9,409.24

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Solution

The fourth proportional to 16,963.50, 23,408.80 and 9,409.24 is: 12,984.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,963.50 : 23,408.80 = 9,409.24 : x
  2. Step 2: Convert to fraction form
    16,963.50/23,408.80 = 9,409.24/x
  3. Step 3: Cross multiply
    16,963.50x = 23,408.80 × 9,409.24
  4. Step 4: Simplify right side
    16,963.50x = 220,259,017.31
  5. Step 5: Solve for x
    x = 220,259,017.31/16,963.50
  6. Step 6: Final answer
    x = 12,984.29

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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.