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Finding the Fourth Proportional to 23,968.36, 35,929.32 and 9,165.88

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Solution

The fourth proportional to 23,968.36, 35,929.32 and 9,165.88 is: 13,739.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,968.36 : 35,929.32 = 9,165.88 : x
  2. Step 2: Convert to fraction form
    23,968.36/35,929.32 = 9,165.88/x
  3. Step 3: Cross multiply
    23,968.36x = 35,929.32 × 9,165.88
  4. Step 4: Simplify right side
    23,968.36x = 329,323,835.60
  5. Step 5: Solve for x
    x = 329,323,835.60/23,968.36
  6. Step 6: Final answer
    x = 13,739.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.