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Finding the Fourth Proportional to 16,852, 23,256.48 and 9,400

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Solution

The fourth proportional to 16,852, 23,256.48 and 9,400 is: 12,972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,852 : 23,256.48 = 9,400 : x
  2. Step 2: Convert to fraction form
    16,852/23,256.48 = 9,400/x
  3. Step 3: Cross multiply
    16,852x = 23,256.48 × 9,400
  4. Step 4: Simplify right side
    16,852x = 218,610,912
  5. Step 5: Solve for x
    x = 218,610,912/16,852
  6. Step 6: Final answer
    x = 12,972.40

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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.