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Finding the Fourth Proportional to 23,832.16, 35,735.04 and 10,697.12

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Solution

The fourth proportional to 23,832.16, 35,735.04 and 10,697.12 is: 16,039.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,832.16 : 35,735.04 = 10,697.12 : x
  2. Step 2: Convert to fraction form
    23,832.16/35,735.04 = 10,697.12/x
  3. Step 3: Cross multiply
    23,832.16x = 35,735.04 × 10,697.12
  4. Step 4: Simplify right side
    23,832.16x = 382,262,011.08
  5. Step 5: Solve for x
    x = 382,262,011.08/23,832.16
  6. Step 6: Final answer
    x = 16,039.76

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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.