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Finding the Fourth Proportional to 18,065.32, 24,896.37 and 13,020.82

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Solution

The fourth proportional to 18,065.32, 24,896.37 and 13,020.82 is: 17,944.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,065.32 : 24,896.37 = 13,020.82 : x
  2. Step 2: Convert to fraction form
    18,065.32/24,896.37 = 13,020.82/x
  3. Step 3: Cross multiply
    18,065.32x = 24,896.37 × 13,020.82
  4. Step 4: Simplify right side
    18,065.32x = 324,171,152.42
  5. Step 5: Solve for x
    x = 324,171,152.42/18,065.32
  6. Step 6: Final answer
    x = 17,944.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.