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Finding the Fourth Proportional to 17,905.35, 24,709.41 and 9,947.37

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Solution

The fourth proportional to 17,905.35, 24,709.41 and 9,947.37 is: 13,727.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,905.35 : 24,709.41 = 9,947.37 : x
  2. Step 2: Convert to fraction form
    17,905.35/24,709.41 = 9,947.37/x
  3. Step 3: Cross multiply
    17,905.35x = 24,709.41 × 9,947.37
  4. Step 4: Simplify right side
    17,905.35x = 245,793,643.75
  5. Step 5: Solve for x
    x = 245,793,643.75/17,905.35
  6. Step 6: Final answer
    x = 13,727.39

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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.