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Finding the Fourth Proportional to 23,846.30, 35,769.46 and 17,314

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Solution

The fourth proportional to 23,846.30, 35,769.46 and 17,314 is: 25,971.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,846.30 : 35,769.46 = 17,314 : x
  2. Step 2: Convert to fraction form
    23,846.30/35,769.46 = 17,314/x
  3. Step 3: Cross multiply
    23,846.30x = 35,769.46 × 17,314
  4. Step 4: Simplify right side
    23,846.30x = 619,312,430.44
  5. Step 5: Solve for x
    x = 619,312,430.44/23,846.30
  6. Step 6: Final answer
    x = 25,971.01

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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.