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Finding the Fourth Proportional to 23,912.16, 33,000 and 13,302

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Solution

The fourth proportional to 23,912.16, 33,000 and 13,302 is: 18,357.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,912.16 : 33,000 = 13,302 : x
  2. Step 2: Convert to fraction form
    23,912.16/33,000 = 13,302/x
  3. Step 3: Cross multiply
    23,912.16x = 33,000 × 13,302
  4. Step 4: Simplify right side
    23,912.16x = 438,966,000
  5. Step 5: Solve for x
    x = 438,966,000/23,912.16
  6. Step 6: Final answer
    x = 18,357.44

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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.