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Finding the Fourth Proportional to 23,513.56, 35,269.38 and 5,983.83

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Solution

The fourth proportional to 23,513.56, 35,269.38 and 5,983.83 is: 8,975.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,513.56 : 35,269.38 = 5,983.83 : x
  2. Step 2: Convert to fraction form
    23,513.56/35,269.38 = 5,983.83/x
  3. Step 3: Cross multiply
    23,513.56x = 35,269.38 × 5,983.83
  4. Step 4: Simplify right side
    23,513.56x = 211,045,974.13
  5. Step 5: Solve for x
    x = 211,045,974.13/23,513.56
  6. Step 6: Final answer
    x = 8,975.50

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Why These Related Problems?

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