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Finding the Fourth Proportional to 16,735.24, 23,094.90 and 9,662.28

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Solution

The fourth proportional to 16,735.24, 23,094.90 and 9,662.28 is: 13,334.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,735.24 : 23,094.90 = 9,662.28 : x
  2. Step 2: Convert to fraction form
    16,735.24/23,094.90 = 9,662.28/x
  3. Step 3: Cross multiply
    16,735.24x = 23,094.90 × 9,662.28
  4. Step 4: Simplify right side
    16,735.24x = 223,149,390.37
  5. Step 5: Solve for x
    x = 223,149,390.37/16,735.24
  6. Step 6: Final answer
    x = 13,334.10

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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.