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Finding the Fourth Proportional to 23,563.92, 35,341.62 and 9,523.44

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Solution

The fourth proportional to 23,563.92, 35,341.62 and 9,523.44 is: 14,283.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,563.92 : 35,341.62 = 9,523.44 : x
  2. Step 2: Convert to fraction form
    23,563.92/35,341.62 = 9,523.44/x
  3. Step 3: Cross multiply
    23,563.92x = 35,341.62 × 9,523.44
  4. Step 4: Simplify right side
    23,563.92x = 336,573,797.57
  5. Step 5: Solve for x
    x = 336,573,797.57/23,563.92
  6. Step 6: Final answer
    x = 14,283.44

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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.