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Finding the Fourth Proportional to 16,953.44, 23,394.48 and 9,500

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Solution

The fourth proportional to 16,953.44, 23,394.48 and 9,500 is: 13,109.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,953.44 : 23,394.48 = 9,500 : x
  2. Step 2: Convert to fraction form
    16,953.44/23,394.48 = 9,500/x
  3. Step 3: Cross multiply
    16,953.44x = 23,394.48 × 9,500
  4. Step 4: Simplify right side
    16,953.44x = 222,247,560
  5. Step 5: Solve for x
    x = 222,247,560/16,953.44
  6. Step 6: Final answer
    x = 13,109.29

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