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Finding the Fourth Proportional to 23,513.68, 35,276.42 and 10,857.32

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Solution

The fourth proportional to 23,513.68, 35,276.42 and 10,857.32 is: 16,288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,513.68 : 35,276.42 = 10,857.32 : x
  2. Step 2: Convert to fraction form
    23,513.68/35,276.42 = 10,857.32/x
  3. Step 3: Cross multiply
    23,513.68x = 35,276.42 × 10,857.32
  4. Step 4: Simplify right side
    23,513.68x = 383,007,380.39
  5. Step 5: Solve for x
    x = 383,007,380.39/23,513.68
  6. Step 6: Final answer
    x = 16,288.70

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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.