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Finding the Fourth Proportional to 16,962.44, 23,406.88 and 9,509

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Solution

The fourth proportional to 16,962.44, 23,406.88 and 9,509 is: 13,121.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,962.44 : 23,406.88 = 9,509 : x
  2. Step 2: Convert to fraction form
    16,962.44/23,406.88 = 9,509/x
  3. Step 3: Cross multiply
    16,962.44x = 23,406.88 × 9,509
  4. Step 4: Simplify right side
    16,962.44x = 222,576,021.92
  5. Step 5: Solve for x
    x = 222,576,021.92/16,962.44
  6. Step 6: Final answer
    x = 13,121.70

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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.