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Finding the Fourth Proportional to 16,947.96, 23,387.34 and 9,494.52

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Solution

The fourth proportional to 16,947.96, 23,387.34 and 9,494.52 is: 13,101.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,947.96 : 23,387.34 = 9,494.52 : x
  2. Step 2: Convert to fraction form
    16,947.96/23,387.34 = 9,494.52/x
  3. Step 3: Cross multiply
    16,947.96x = 23,387.34 × 9,494.52
  4. Step 4: Simplify right side
    16,947.96x = 222,051,567.38
  5. Step 5: Solve for x
    x = 222,051,567.38/16,947.96
  6. Step 6: Final answer
    x = 13,101.96

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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.